I have muscle tension dysphonia, could I have TMS?

You're welcome I'm not a doctor but I assume you can get tests both to relieve your fear around thyroid issues and HPV. If you don't have HPV on test, how can you be contagious?

There's a contradiction here as in the last sentence you said you know it's not dangerous, but then at the start you're fearing that there's a structural/physiological issue (thyroid issues, HPV etc), which has inherent danger. Your brain is scared because you still have fear of the conditions you talked about at the start. Once belief in TMS grows (assuming that is what it is) and in turn the fear of it being something else goes, then the fear will reduce (as is the case with any TMS symptom).

The other things you mentioned (it being annoying, it not shifting) aren't issues at the moment compared to the entertaining of ideas around it being something more sinister than TMS. That should be the focus first to rule those things out