If I am not mistaken, there is a nerve series that runs on the side of the face from approx. the temple to the
jaw bone that can become inflamed with
dental work/infection, and for reasons unknown. I believe this is seen more often in people with MS. There have been treatments successful in relieving the pain. I cannot recall the name of this pain as the word is a little lengthy. You really should not have to live with pain.
Perhaps Google, facial nerve pain or dental, facial pain.