If someone hits your car and they're at fault for the car accident then your insurance rates should not go up.
If the person who hits you is insured then that persons auto insurance company should cover any damages done to your car and injuries that you may have sustained from the auto accident.
Usually the only persons car insurances rates that should go up is the person who hit your vehicle.
Your auto insurance company shouldn't penalize you for an auto accident that isn't your fault.