Any kind of anesthesia has risks. You should trust your doctors, they are good specialists and they are prepared to deal with any complication.

Extremely rare!!

I am assuming you are healthy. Your operating is simple, non complex. And, your anesthesiologist is an MD who is board certified by the American Board of Anesthesia if here in the United States.
You will do wonderful. Anesthesia is extremely safe today!

Extremely low, safer than your drive there

From Christopher Creighton

Anesthesia administered in a hospital setting in the daytime by a board-certified anesthesiologist carries less risk of a serious complication than the chance of getting hit by a car while crossing a street.