If you're allergic to anesthesia and want to have a rhinoplasty, is it possible?

A true "allergy" to anesthetic drugs is incredibly rare but does exist. In many cases, the offending drug can be eliminated from the anesthetic provided during surgery. In other cases, the allergy actually represents overmedication or overtreatment or a natural response to a drug used during the procedure. Most of the time, a new anesthetic regimen can be created to eliminate the offending drug. Best.Stephen Weber MD, FACSDenver Facial Plastic Surgeon

It is unlikely that you are allergic to all anesthetics. You probably have incomplete or incorrect information about your allergies. 

 It is very important to have a thorough understanding of the different types of anesthetics which include local anesthesia, sedation anesthesia and general anesthesia. A preoperative appointment with an anesthesiologist would be helpful to his sort out whatever rare allergies that may exist. Rhinoplasty is one of the most difficult procedures to perform in the entire field of cosmetic surgery, so choose your surgeon very wisely based on extensive experience producing natural results