As you noted trigeminal neuralgia is indeed painful. It can be a stand-alone problem or it can exist as a subset of MS. As you are aging and the problems appear to be progressing, it sounds as though there are neurological concerns. 2 + 2 = 4 but never MS
Joking aside, your intuition is pushing you in the right direction. If you want to know if you have MS, you need to be seen by an MS Specialist or a neuro with MS experience. This will keep you in limbo land the least amount of time.
At this point it would be difficult to really know what is happening. Your symptoms might be oblivious to another doctor, but you need to keep pushing forward. Ask to see an MS Specialist or make an appointment directly.
The diagnostic process can take time because there is no specific test for MS. The doctor has to eliminate over 300 possible causes because those other possibilities can mimic MS symptoms.
Again, welcome. I hope you can get some resolution soon!!