An NYPD officer shot in the wrist in a gunfight on Staten Island was released from the hospital Wednesday to salutes and cheers from her colleagues.

Officer Venesa Medina required surgery at the Richmond University Medical Center after she was shot once in the exchange of gunfire Tuesday morning in Clifton, the police department said.

"Today, every New York City police officer is pleased," Patrick Lynch, the president of the Police Benevolent Association union for uniformed officers, said outside the hospital. "Because they know it could have been them. And that's why we came out for our sister."

Surgeon Biaggio Pacifico said Medina will wear a cast for about five weeks and is expected to fully recover in roughly six months. He said the he bullet went all the way through her hand.

"A lot of it excited the wound," the surgeon said. "We were able to take out approximately, I would say, about 95 percent of the bullet fragments and bone fragments."

The man whom NYPD police officers shot twice was identified Wednesday. Gregory Edwards, 39, died after receiving gunshot wounds to his back, the city medical examiner announced. His heart, right lung, and aorta were also injured in the shooting. His cause of death was ruled a homicide.

Edwards was killed after exchanging gunshots with officers responding to a domestic violence call on Parkhill Lane, the city police department said.

When four officers confronted him on Prince Street, he became combative and violently resisted arrest, police said. Police Commissioner James O'Neill said an officer then deployed a Taser, hitting him in the back.

Edwards pulled out a gun and the officers grabbed his hands to direct the weapon away, O'Neill said. Edwards then fired two times. A police officer returned fire three times, striking the man, officials said. Edwards was transported to a local hospital, where he was pronounced dead.

"They could have turned away when that gun was raised, but they didn't," Lynch said. "They pushed forward and they did what they had to do to save those folks."

The Legal Aid Society on Wednesday called for the full release of body camera footage from the shooting. It said the police department must do better to de-escalate situations that too often end in death.

"The NYPD has told its side of the story, now it's time for the Department to release all unredacted body-worn-camera footage along with the names of the officers involved in this shooting. Mr. Edwards' family is entitled to a full and objective account of this incident," the Legal Aid Society said in a statement.

Lynch argued the officers acted appropriately.

"When that perp raised the gun and pulled the trigger…we shot him to make him stop from hurting anybody else," Lynch said outside Richmond University Medical Center, Medina's hospital. "What happens is the perps need to know you cannot attack and abuse citizens and you certainly cannot attack New York City police officers."

"We stood there, we spoke with him, and he decided to raise his weapon," Lynch added. "He changed the dialogue, not us."

Police said Edwards had a history of committing violent crimes, including domestic assault and weapons charges. He was previously convicted of a shooting on Staten Island and served five years in prison, according to investigators.