How Can a Nose Job Cause Deaths?

Death would be a very rare complication and if it does occur it would typically be an anesthesia complication.  Yoy have the option to use IV sedation which is safer than a general anesthesia

Death is a very rare event  after elective surgery when performed an a healthy prepared patient in a well controlled operating room and with an experienced anesthetist. The risk is less than getting into a fatal auto accident, and yet you drive every day.