The victim, Sunando Sen, was born in India and, according to a roommate, was raised Hindu.

Mr. Sen “was allegedly shoved from behind and had no chance to defend himself,” Mr. Brown said. “Beyond that, the hateful remarks allegedly made by the defendant and which precipitated the defendant’s actions should never be tolerated by a civilized society.”

Mr. Brown said he had no information on the defendant’s criminal or mental history.

“It will be up to the court to determine if she is fit to stand trial,” he said.

Ms. Menendez is expected to be arraigned by Sunday morning. If convicted, she faces a maximum penalty of life in prison. By charging her with murder as a hate crime, the possible minimum sentence she faced would be extended to 20 years from 15 years, according to prosecutors.

On Saturday night, Ms. Menendez, wearing a dark blue hooded sweatshirt, was escorted from the 112th Precinct to a waiting car by three detectives. Greeted by camera flashes and dozens of reporters, she let out a loud, unintelligible moan. She did not respond to reporters’ questions.