Being in a car accident is a very difficult situation on a number of levels. Your pain is sometimes secondary to the aftermath of having your car out of service. Dealing with insurance problems and potentially missing work are added stressors.
Chiropractors are specialists in soft and hard tissue problems that could result from the trauma of an accident. There could be underlying injuries that are masked by a stiff neck. Make sure you see your chiropractor to get a full examination.