Financial Relief for Civilians Treated at Military Hospitals Act This bill prohibits the Department of Defense (or the military departments) from attempting to collect a debt owed by a civilian not covered under TRICARE for certain emergency medical treatment at a military medical treatment facility. The bill also prohibits a military medical treatment facility from charging any fee for certain emergency medical treatment provided to a civilian who is not covered under TRICARE, or a third-party payer of such civilian (e.g., Medicare).