Veterans Homecare Choice Act of 2023 This bill includes any nurse registry as an eligible health care provider under the Veterans Community Care Program of the Department of Veterans Affairs. Under the bill, a nurse registry is a person who satisfies applicable state licensure requirements and procures, or attempts to procure, contracts or agreements on behalf of registered nurses, licensed practical nurses, certified nursing assistants, home health aides, companions, or homemakers under which such individuals may furnish health care-related or assistive services and receive compensation.