First Responder Medical Device Tax Relief Act - Amends the Internal Revenue Code to exempt a qualified emergency medical device from the excise tax on medical devices. Defines "qualified emergency medical device" as a medical device furnished by first responders or ambulance services in providing out-of-hospital or pre-hospital care, or transport to a medical care facility, for individuals with illnesses, injuries, or other medical emergencies or in need of medical transport, extrication, or evacuation.