The married Queens woman fatally shoved by a woman with a history of mental illness in front of an oncoming train in a Times Square station Monday never had a chance to survive, a witness told The Post.

Peter Cuneo, 73, said he watched in horror as Melanie Liverpool, 30, pushed Connie Watton, 49, in front of a downtown No. 1 train at West 42nd Street station – in what officials described as an unprovoked attack.

“She was pushed a distance across the front of the train,” Cuneo said. “I never saw her hit the ground. The train hit her instantaneously. It wasn’t like she was pushed and you could actually do something.”

Cuneo, a retired electrical engineer from Whitestone, Queens, said the train had struck her “mid-fall.”

“It was just scary. It was the kind of thing you never want to see,” Cuneo noted.

There was so much confusion at first that some people on the platform didn’t know the victim was a female.

“I’m not sure which happened first — I saw the body coming down in front of the train and somebody was yelling, ‘She pushed him!,’” Cuneo recalled some yelling.

“At the time, I didn’t know if [the victim] was a man or a woman. The person fell closer to the wall side, not the platform,” Cuneo said.

Cuneo quickly notified several cops nearby as Liverpool started to walk away in the station, but didn’t get very far.

“I told the cops, ‘This is the woman who pushed somebody on the tracks,’” Cuneo said. “They asked her, and she didn’t say anything. And as far as I could tell, the whole time — being brought back to the platform and everything else — she never said anything.”

But police sources said Liverpool confessed that she pushed Watton in front of the train.

Liverpool was charged with second degree murder and held without bail at her arraignment in Manhattan Criminal Court Tuesday.