Is it normal to have so much pain after a dental implant?

Pain and thorbbing after Implant surgery is minimal, and resolves shortly after the surgery. If the throbing pain keeps you up at night, you need to make sure you are not infected/ or infection not developing, In which case you will need to take antibiotics to orevent further complications As you mentioned the pain might be coming from adjacent teeth. Since you have a  history of TMJ condition. see your surgeon for evaluation 

Thank you for your question. Some soreness is expected after implant placement, but thrombing pain should not be there.Have you considred a second opinion?

Typically, implant placement does not cause great deal of pain. Certainly, infection should be ruled out. If the implant was placed by an oral surgeon, it would be best to see him or her. If it was placed by a general dentist, I recommend getting an examination from an oral surgeon to make sure it is healing properly. Dr. Kazemi

I would wait a bit longer. If you still have pain 2 weeks post operatively there may be compression necrosis of the bone in which case the implant has to be removed.