What kind of doctor do I need to contact for facial muscle damage?

It must be difficult for you to navigate through this unfortunate incident.  I recommend a consultation to evaluate the type of injury whether muscular or nerve injury, possible nerve testing to help better understand the long-term prognosis and possibly CT imaging if necessary.  Please schedule a consultation with a board certified facial plastic surgeon and/or plastic surgeon.

You can see a specialist facial plastic surgeon or a plastic surgeon/craniofacial surgeon. There can be a number of things causing your problem which will need proper assessment by a thorough physical exam. Hope this helps.