A constable, who was driving the car, has been suspended pending inquiry, police said.
Rahena Begaum, a private bank employee, was proceeding to her bank in a two-wheeler when the car, belonging to Ramiah, the father of Deputy Commissioner of Police (Crime) Ramya Bharathi, dashed against it while attempting to overtake, they said.
Rahena fell into a ditch and died on the spot.
According to preliminary inquiry, Ramaiah, a retired district collector, was in the car when the mishap occurred.