Tax Relief and Fulfilling Our Obligation to Patriotic Soldiers Act of 2009 - Amends the Internal Revenue Code to exclude from gross income payments made to members of the Armed Forces as a qualified bonus. Defines "qualified bonus" as an enlistment, accession, reenlistment, retention, incentive, or other bonus paid to a member of the Armed Forces to accept a commmission or extend an active service commitment as an officer, to enlist, to reenlist, to extend an enlistment in an active or reserve component, or to enter into a reserve affiliation agreement.