The woman told officers 32-year old Chesley Austin sexually assaulted her at a home in the 14-hundred block of Taylor Tuesday morning.
She said he took off in her car, which he was not authorized to use.
The car was located by police around 12:30 Tuesday afternoon in the 13-hundred block of Fillmore.
Austin was taken into custody for sexual assault and unauthorized use of a motor vehicle.
Bond has not been set at this time.