My 3 lb. Jilly was neutered at age 6 years(how long it took me to work up the courage)and her anesthesia went fine. Tibbe, who was 3 lbs. larger, was neutered at age 9 mos., had annual anesthesia for years with his dentals and all went well. If you use a responsible vet who hires good tech help, etc., and the dog is healthy, everything will be as good as can be for anesthesia. Tiny dogs are neutered every day successfully. Try not to worry.