VAWA Protections for Rural Women Act of 2021 This bill adds the Rural Development Voucher Program to the list of covered housing programs under the Violence Against Women Act of 1994 (VAWA). Specifically, it extends VAWA's housing protections (e.g., protection from eviction or denial of housing) to residents and applicants under the Rural Development Voucher Program who are victims of domestic violence, dating violence, sexual assault, or stalking.