The woman who allegedly shoved a female straphanger to her death at a subway station appeared Tuesday in court, where she claimed she had not admitted to the crime while being arrested.

“What? I did not admit to nothing,” said Melanie Liverpool-Turner, 30, who is charged with second-degree murder.

Liverpool, who has a history of mental illness, shoved Watton in front of an oncoming downtown No. 1 train Monday for no apparent reason, law enforcement sources said.

After striding nonchalantly into Manhattan Criminal Court, Liverpool reacted to Assistant District Attorney Matthew Thiman saying she had admitted to shoving Connie Watton, 49, at the Times Square station.

“It’s a strong case with multiple eyewitnesses,” the prosecutor said.

Judge Gerald Lebovits said: “Two individuals allegedly observed the defendant pushed the victim in front of an oncoming train.”

But her attorney, Mathew Mari, informed him that Liverpool said she was not guilty.

Mari said Liverpool worked as a home aide up until three weeks ago, has no prior convictions and has lived at the same address for three years.

He said he met with her for about 15 minutes but got very little out of her.

“She wouldn’t really discuss anything,” he told reporters. “She is not talking very much. She didn’t have very much to say other than she is ‘not guilty’ and she didn’t want to discuss anything else.”

When asked about her demeanor, he said she was “calm, very calm.”

“I know she told me that she did have some kind of medical history but she wouldn’t get into it,” he said when asked about her psychological history.

Liverpool, who rolled her eyes a few times during her appearance, was held without bail and is due in court again on Thursday.