Hi. One of my wisdom teeth recently poked through (am now 28 wks pregnant). Dentist said they don't want to administer anaesthetic so they're going to wait till after the birth. BUT it's not causing me pain or any harm the way it is. And my guess is they just like to be over cautious. So, I would guess there is pain relief you can have, and that this can be sorted out. You have a long time to go at only 12 weeks! Would just go see dentist and discuss. Good luck.
i don't know for sure, but I think local anaesthetic is alright during pregnancy...especially if the alternative is you being in agony for months.
I know dentists dont like doing x-rays during pregnancy, but am sure a few of my friends have had fillings done using novocaine at various points in their pregnancy. I am sure your dentist will be able to advise you tomorrow.