New York Giants defensive tackle Jay Bromley is facing possible assault charges after a woman accused him of raping her during a date that went horribly awry in a Midtown hotel.

The accuser suffered minor injuries when she confronted the lineman afterward outside the hotel, and he allegedly struck her with the front of his car as he drove away, law enforcement sources told The Post.

Those injuries could earn him a misdemeanor assault rap.

Less clear are the woman’s rape allegations, which multiple police sources say could wind up in a he-said, she-said stalemate.

Bromley and the woman have both spoken with investigators, with detectives from the NYPD Special Victims Unit interviewing Bromley Saturday, sources said.

The woman and Bromley — a 6-foot-3, 306-pound, third-round selection in the 2014 NFL draft — met via Instagram, ­according to sources.

Bromley, 23, picked up the 26-year-old woman at her Brooklyn home Friday, and the two hit a hookah bar in Manhattan.

They ended up in a room at the Hyatt Herald Square hotel in Midtown early Saturday.

“She said she willfully performed oral sex on him,” a source said. But then “something took place where she didn’t want it to take place.”

The woman started vomiting, and the sexual contact stopped, explained another source with knowledge of the woman’s statements to police.

An infuriated Bromley then forcibly grabbed the woman, turned her around and began having sex with her against her will, the woman alleged to police investigators.

“The victim told Mr. Bromley to stop, but he kept going,” the source said.

The Queens-born player then fled the hotel, she told cops. She followed him to his car, confronted him and — according to at least one of their accounts — demanded that he give her a ride home, sources said.

Bromley refused, driving away. At least one of their accounts describes the furious ­accuser leaping onto the hood of his vehicle to stop him.

She soon fell from the car and injured her knees when she hit the pavement, sources told The Post.

The woman was treated at Roosevelt Hospital. Saturday afternoon, detectives escorted a woman, her head and face covered by the hood of her jacket, in and out of the hotel.

“We are aware of the situation and will continue to monitor it,” a Giants spokesman said. “We have notified the league office per the league’s protocol. We will have no further comment, as we understand this is an ongoing investigation.”

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