Yadira Arroyo, 44, was responding to a call with another paramedic in the Bronx neighbourhood on Thursday night when she was hit. He is expected in court later Friday.
Arroyo was then struck by the vehicle. The two EMTs tried to stop him, police said.
"She wasn't just a mother to five, she was a mother to 100 plus people who worked here", said FDNY Lt. George Lampon, who broke into tears a moment later. "Yadi was the matriarch of the station", Lt. George Lampon said, choking back tears during a somber ceremony at Arroyo's stationhouse. "He spat at one of the female officers and he started saying stuff like "she should get raped" and stuff like that", a resident said. The family is "going through unspeakable grief", he said.
"She was a great mentor; she was a great friend", said Anastasia Ramos, a colleague.
"The tragic death of EMT Yadira Arroyo is anothe grim reminder of the dangers that first responders face every day to keep us safe", Answer the Call Board Chairman Stephen Dannhauser said in a statement.
Arroyo's brother and fellow EMT Joel Rosado says he became a medic to follow in her footsteps.
After being transported to Jacobi Medical Center, Arroyo was pronounced dead.
While being escorted by police from the 43rd Precinct early Friday, Gonzalez said, "I'm innocent". The 25-year-old told reporters he did nothing wrong.
A passing motorist alerted the EMTs to the man riding on the back of the ambulance, he said. They saluted as the ambulance carrying Arroyo's body drove by. "She died protecting her partner".
Police say he slammed into some parked cars before hitting a snowbank.
Video from the chaotic scene shows the driver motionless on the ground as her partner leans over her, crying and yelling, "My partner!"
New York City police have arrested a man accused of fatally running over an emergency medical technician with a stolen ambulance.
Arroyo's slaying was described in gruesome detail later Friday morning, when the NYPD released information about the charges filed against Gonzalez.
It wasn't immediately clear if Gonzalez had retained an attorney who could comment on the allegations.
He put the vehicle in reverse and ran over Arroyo, authorities said.
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