If a reimbursement warrant represents an amount in excess of the balance remaining in the unapplied money in the General Fund after first deducting from such unapplied money the amount, as estimated by the Controller, which is required by law to be earmarked, reserved or set apart from such unapplied money for the payment of obligations of the State having priority over the obligation to which such reimbursement warrant is applicable, it shall be registered by the Treasurer pursuant to the provisions of this chapter.