The NYPD cop who is accused of hatching a plot to have her estranged husband and her boyfriend’s daughter murdered will stand trial in April next year, a Long Island federal judge said Tuesday.

Valerie Cincinelli, 35, wore black jail scrubs to a hearing on Tuesday in federal court in Central Islip, and looked sullen as Judge Sandra Feuerstein set the April 20, 2020, trial date — giving no acknowledgment to her relatives sitting quietly in the back of the courtroom.

Cincinelli was arrested in May for allegedly giving her boyfriend John DiRubba $7,000 to arrange hits on her estranged husband, Isaiah Carvalho, and DiRubba’s own 15-year-old daughter.

“I just wish they would do it right away and not wait until April,” said Carvalho’s mother, Mary Ann Roach, who was also in attendance Tuesday.

“I’m glad she’s behind bars,” Roach added. “I hope she stays there.”

Cincinelli’s lawyer, James Kousouros, told reporters after the hearing: “We have a trial date, and we look forward to the facts emerging.”

The hearing was held just a few days after Feuerstein denied Cincinelli’s application for bail, saying she “poses a danger to the safety” of the victims in her case and that she shows a “lack of impulse control and remorse” — and thus should stay behind bars at the Metropolitan Detention Center in Brooklyn until she stands trial.

Cincinelli’s criminal case is also playing out while she is locked in a bitter divorce battle with Carvalho in state court in Nassau County.