Federal Supply Schedules Usage Act of 2010 - Authorizes the Administrator of General Services (GSA) to provide for the use of federal supply schedules by the American National Red Cross and other qualified organizations (as described in the Robert T. Stafford Disaster Relief and Emergency Assistance Act) in furtherance of purposes determined to be appropriate to facilitate emergency preparedness and disaster relief. Prohibits use of such authority to purchase supplies for resale. Requires all uses of federal supply schedules to be in accordance with the ordering guidance provided by the Administrator. Authorizes the Administrator to include among permitted uses of federal supply schedules by state or local governments the procurement of goods or services to facilitate disaster preparedness or response. Specifies that the budgetary effects of this Act, for the purpose of complying with the Statutory Pay-As-You-Go Act of 2010, shall be determined by reference to the latest statement titled "Budgetary Effects of PAYGO Legislation" for this Act, submitted for printing in the Congressional Record by the Chairman of the House Budget Committee, provided that such statement has been submitted prior to the vote on passage.