She was treated for a bruised shoulder, but wasn't seriously hurt.
Police detectives decided not to press charges.
They say Safir didn't know he'd hit someone.
The victim tells a different story.
Joanne Valarezo tells The New York Times that both she and a passenger in the SUV yelled at the driver for being careless before he drove away.
She says she didn't know who he was until informed by a reporter.
Safir was police commissioner from 1996 to 2000.
Calls to his homes in New York and Maryland weren't immediately returned.