Fairness for Crime Victims Act of 2023 This bill establishes budget points of order in the House of Representatives and the Senate against considering provisions in appropriations legislation that contain changes in mandatory programs (CHIMPs) that would cause the amount available for obligation during the fiscal year from the Crime Victims Fund to be less than the annual average for the three previous fiscal years. A CHIMP is a provision that (1) would have been estimated as affecting direct spending or receipts if the provision were included in legislation other than an appropriations bill; and (2) results in a net decrease in budget authority in the current year or the budget year, but does not result in a net decrease in outlays over the period of the total of the current year, the budget year, and all fiscal years covered under the most recently adopted budget resolution.