HUD Health and Safety Accountability Act of 2023 This bill requires the Department of Housing and Urban Development (HUD) to make changes to policies and procedures applicable to HUD multifamily housing programs, including Section 8 project-based rental assistance (PBRA). The bill requires management and occupancy reviews conducted by the Office of Multifamily Housing Programs to include specified graded factors, including (1) responsiveness to local code violations; and (2) remediation of health, sanitation, and structural integrity issues. Additionally, the bill establishes or changes requirements regarding local code enforcement response, HUD oversight of individual units that receive PBRA assistance, tenant surveys issued by performance-based contract administrators, and the disclosure of program contact information to tenants.