The county collector shall note on his books each claim for deferral of real estate taxes which meets the requirements of Section 3 and, when taxes are extended, shall send to the Department the tax bills, including special assessment bills forwarded to the county collector under Section 3, on all tax deferred property in that collector’s county. Unless there is a shortfall in the appropriation or the Senior Citizens Real Estate Tax Revolving Fund balance, at which time the payments shall be made within 14 days of there being sufficient appropriation authority or sufficient fund balance, the Department shall then pay by June 1 or within 30 days of the receipt of these tax bills, whichever is later, to the county collector, for distribution to the taxing bodies in his county, the total amount of taxes so deferred. The Department shall make these payments from the Senior Citizens Real Estate Deferred Tax Revolving Fund.