dear friend, thanx for sharing your concern,
do not be panic at all, tooth extraction is always done under local anesthesia
a nerve block
is given so that, you feel numb in that area.
any experienced dentist
would certainly not do extraction without confirming the effect of anesthesia. when you confirm it that you are feeling numbness
in that area then only extraction procedure is begun.
during tooth extraction you might feel pressure on teeth but no pain , be sure you will be free to stop in between if you feel any pain.
therefore, just make up your mind and go for extraction. take pain killers that are adviced to you. follow post extraction instructions religiously and i am sure, it will be fine.