I have had my wisdom teeth out but luckliy I was knocked out because it was a big procedure (all 4 that hadn't come up yet). Maybe try and ask if you can get a sedation I'm sure they can't force you to have a procedure that you're uncomfortable with while you're awake. Even if its at a later date they should make you as comfortable as possible. If its not possible maybe find another dentist or take some anti-emetics with you on the day. Some hospitals or clinics will also give you an anti-emetic injection before the procedure by request but not all. The worst part is generally the anxiety before the procedure, but even if you are awake during the procedure, your mouth should be so numb you wouldnt feel a thing!