I new enough here that I don't know what stage you are in treatment. If this is post-RAI, I would say after what I've experienced with swelling anything is possible! If it is not related to RAI, I would wonder...maybe some uncommon side effect from whatever thyroid replacement you're on? Sounds uncomfortable and wish you a quick solution!
They accidently cut the nerve to my tongue during my wisdom teeth removal 20 years ago...tongue issues are weird! I hope you figure it out!