i had the same fear before my surgery and I met with my surgeon and she assured me that now in 2007 it is so safe to be under and that I will be monitered the whole time. that it was even safer then driving to the hospital then to be under.
Ask to have the anesthesia doc come and meet with you or have them give you something to calm you down. besides my oxgen being too low i was fine- I don;t even remember the surgery- that was the easy part