I'm having a General Anesthetic for six filllings? advice?

Im 17 in a few months and next week im having General Anesthetic because i have a horrible phobia of needles so i won't allow the injection, i'm not having any teeth taken out, but i'm having 6 fillings, i've been told even healthy people have died from this? I don't exactly go out running everyday so im not the healthiest person, any advice?