She is due to appear at Heidelberg Magistrates Court on Thursday.
No one was injured in the incident.
The male driver was perceived to be Middle Eastern in appearance, aged in his 30s, with short black hair and a beard.
He was wearing a grey T-shirt, black shorts and runners.
He was last seen running across Dalton Road into nearby properties along Rochester Drive and Darebin Drive.
Tougher penalties, including mandatory jail terms, came into effect last year for the offence of aggravated intentional exposure of an emergency worker to risk by driving.
Police Association secretary Wayne Gatt said rammings like at Thomastown physically and psychologically endangered members.
“Any attack on our members, be it through direct physical violence or car rammings, is unacceptable,” he said.
“Our members put on the uniform and go to work to protect the community and too often are left fighting to protect themselves.”
Whittlesea Crime Investigation Unit detectives are investigating and are keen to speak to any witnesses.