Police say she was traveling northbound on Ridgedale and the car was heading eastbound on Burnett Road when the collision occurred.
The victim was extricated from underneath the vehicle by the Madison Fire Department.
She was treated at the scene by paramedics and rushed to Morristown Memorial Hospital. She suffered leg and neck injuries.
Her condition and the cause of the accident are unknown at this time.
No charges have been filed at this time.