Blue Star/Gold Star Flag Act of 2010 - States that a condominium association, cooperative association, or residential real estate management association may not adopt or enforce any policy, or enter into any agreement, that would restrict or prevent an association member from displaying a Service Flag on residential property within the association with respect to which such member has a separate ownership interest or a right to exclusive possession or use. (A Service Flag, also known as a "blue star banner," is an official banner authorized by the Department of Defense [DOD] for display by families who have members serving in the Armed Forces during any period of war or hostilities the United States may be engaged in for the duration of such hostilities.) States that nothing in this Act shall be considered to permit any display or use inconsistent with: