She’s holding on against Zoh’s thin red line.

NYPD Commissioner Jessica Tisch accepted Mayor-elect Zohran Mamdani’s offer to stay on as top cop Wednesday — with a vow to not “mince words” in disagreements over their profound differences.

The highly anticipated appointment fulfills Mamdani’s campaign promise to keep the respected 44-year-old police executive amid concerns over his arguably soft-on-crime bent.

Tisch fired off a department-wide email – as The Post first reported her decision – that acknowledged she doesn’t always 100% agree with the socialist’s far-left policies, but said her discussions with Mamdani showed they share a commitment to public safety.

“I appreciate that the Mayor-elect wants a team with different points of view — a team where ideas and policies are debated on their merits,” she said in the email.

“In those discussions, you can trust that I will be a fierce advocate for you and for this department. You know how I operate: I don’t mince words. When I say something, I mean it. And that is not going to change.”

The unlikely duo publicly cemented their alliance with a strange photo-op outside the NYPD’s Memorial Wall that Mamdani’s transition team unsuccessfully tried to limit to a few select outlets — and dodged questions that could risk a first-day rupture.

Instead, the rollout concentrated on areas of agreement – with Mamdani’s team lauding the city’s significant crime drop under Tisch’s leadership — including record-low shootings so far this year.

Tisch was appointed by Mayor Eric Adams last November, his fourth police commissioner, after federal investigations rocked the department.

“I have admired her work cracking down on corruption in the upper echelons of the police department, driving down crime in New York City, and standing up for New Yorkers in the face of authoritarianism,” Mamdani said in a statement.

“Together, we will deliver a city where rank-and-file police officers and the communities they serve alike are safe, represented, and proud to call New York their home.”

Mamdani and Tisch will work together to keep NYPD cops focused on serious and violent crime, with the incoming mayor’s proposed new Department of Community Safety taking the burden of dealing with homelessness and mental health issues, his team said.

Restive business leaders, including Tisch’s own billionaire family, and other New York power players had been pushing her to stay in Mamdani’s administration as a firewall against many radical progressive police reforms.

And establishment Democrats such as Gov. Kathy Hochul and House Minority Leader Hakeem Jeffries (D-NY) said Mamdani’s commitment to Tisch played a significant role in their endorsements of the relatively unproven 34-year-old lawmaker.

Hochul, during an unrelated event Wednesday, lauded Tisch’s appointment as having a “calming effect,” and said she’d work to help Mamdani and the commish when needed, but will take a hands-off approach.

“I’m going to let them work it out,” Hochul said. “I’m not gonna micromanage the relationship between the mayor and his commissioner of police.”

But while both are Democrats, Mamdani and Tisch are worlds apart on many public safety issues.

Tisch has been an outspoken critic of New York’s controversial 2019 criminal justice reforms, which law enforcement officials have slammed for creating a “revolving door” in the system that sees dangerous criminals arrested, then quickly put back on the streets to reoffend.

Mamdani, a Democratic Socialists of America member who previously supported the “defund the police” movement and slammed the NYPD as “racist” during the 2020 George Floyd protests, has crowed that the reforms haven’t gone far enough.

Mamdani campaigned on eliminating the police department’s overtime, building out his Dept. of Community Safety and keeping the force at its current 35,000 budgeted staffing level.

But Tisch has backed Adams’ plan to swell the NYPD’s ranks to 40,000 officers over the next few years, which was announced just days before the Nov. 4 election.

Tisch has also been skeptical over Mamdani’s calls to abolish both the NYPD’s Strategic Response Group – a controversial unit that responds to protests – and the department’s gang database.

But Mamdani, questioned about the SRG by a reporter after his joint appearance with Tisch, appeared to have somewhat softened his stance – to a point.

“I don’t think the NYPD Strategic Response Group should be how we respond to protests and that’s something we’ll be following through with,” he said.

“We’re going to have a different response, one that actually fulfills the objectives that we were talking about.”

The Queens assemblyman also sidestepped a pointed question from PIX11 on whether  the NYPD’s oversight review board should have the final say on serious disciplinary matters.

He said during the campaign that he supported giving the Civilian Complaint Review Board final say, taking that power away from the commissioner.

“Under the city charter right now, that’s the commissioner,” Mamdani said Wednesday, wiggling out from an actual answer.

“The question is can the CCRB even follow through on the complaints. I’m going to make it my job to follow through on that by fully funding it.”

Mamdani and Tisch are also worlds apart on Israel, for deeply personal reasons.

Tisch, who hails from one of the city’s most prominent Jewish families, is a Zionist, while Mamdani is a longstanding vocal critic of Israel who has pledged to order the arrest of Prime Minister Benjamin Netanyahu if he visits the city.

But Kathryn Wylde, the CEO of the powerful Partnership for New York City business group, said Tisch’s appointment goes a long way in assuaging worries over whether the telegenic leftist will let his ideology trump good governance.

“The fact that the Tisch family are leaders in the city’s Jewish community also allays concerns about the city’s efforts to combat antisemitism,” Wylde said.

“Support for retaining Tisch came not only from employers, but from across a broad spectrum of civic and community leaders. Mamdani’s appointments are off to a good start.”

James Whelan, president of the Real Estate Board of New York, likewise said it’s good news that Tisch’s “steady hand” will remain at the NYPD.

“As Mayor-elect Mamdani builds his team we are hopeful that he will continue to prioritize governmental experience and civic responsibility in his selections,” he said.

The democratic socialist’s campaign pledge to pick Tisch — a well-respected public servant credited with leading the nation’s largest police force out of a rough patch, both on crime and within its ranks — had soothed many New Yorkers’ fears about the incoming mayor.

Critics and political opponents claimed crime would skyrocket under Mamdani, calling out his since-disavowed past anti-cop views and over his proposed DCS, the new agency that would have social workers respond to non-violent 911 calls.

Police union leaders – who have been wary of Mamdani – reacted with relief that Tisch is staying on.

“Based upon her proven track record over the past year, we are optimistic that Commissioner Tisch will continue to keep public safety moving in the right direction, which starts with supporting the brave men and women, who serve on the frontlines every day to keep our city safe,” said Vincent Vallelong, president of the Sergeants Benevolent Association union.

“But to do her job effectively, she will need to receive that same support from the new administration as well.”

Police Benevolent Association President Patrick Hendry said: “We are very glad to hear that there will be stability and continuity in the NYPD’s leadership going forward.

“Commissioner Tisch understands all of the many challenges police officers face on the streets and has been working productively with us to address them. We look forward to continuing that work in the months ahead.”

Tisch’s decision to inform officers before the official announcement was made public was also noted among the ranks, a police source said.

“Very classy to tell the rank-and-file first,” the source said. “Shows the deep respect she has for the cops and the work they do.”

– Additional reporting by Carl Campanile and Hannah Fierick