If your dentist refers you to an oral surgeon, then that is what you should do.
There are dentists who will knock you out to pull your wisdom teeth.
It really depends how deeply impacted your wisdom teeth are. i had it done while awake and I recommend serious drugs or twilight sleep because it was a TERRIBLE ordeal for me.
They had to break my teeth before they could get them out. Dentists will refer you to an oral surgeon if your wisdom teeth are seriously impacted.