I want to add that my jaw doesn't click at all. I know my sister has TMJ and her jaw sticks sometimes and pops.
Based upon your description several possibilities exist. Namely, traumatically induced capsulitis, synovitis, and internal derrangement. Rarely, infections can occur as well.
In any case, strict soft diet, jaw rest and NSAIDS if not contraindicated for now and schedule an appointment with a Board Certified Oral and Maxillofacial Surgeon asap.