Here in Florida doctors cannot perform amputations without medical cause, so it's not the same as going to the plastic surgeon for a "10 minute suck & tuck". I'd hate to see the schmuck who would cut off a limb just to look "cooler" than that guy who's nose, both eyebrows, both lips, and both ears are pierced.
Don't worry about being thrown out for asking... doctors are used to dealing with patients who are under stress / in extreme pain. As long as your approach is rational (don't bring your own chainsaw) he / she should react just as rationally. It may or may not be legal to perform the operation; even if amputation is an option your doctor will want to offer alternative methods so be prepared to listen. I wish you well.