Anesthesia can be an issue at any time, especially for young ones. My daughter is 6 and supposed to go see an ENT about her super large tonsils this week. She gets a lot of sore throat issues, and inflamed/enlarged tonsils. But I am very concerned they will want to take them out, and I don't like the idea of her going under anesthesia. I had 2 major surgeries as a child under 10 back in the 70's, and did come out OK, so there is that, but being HA, I tend to also transfer my worries to my daughter's health, and she's my only child.
I feel for you tymommy, and hope everything will be OK. There is truly nothing worse than fear and worrying over your child.