Veterans and Servicemember Consumer Protection Act of 2021 This bill directs the Federal Trade Commission (FTC) to designate a coordinator within the Bureau of Consumer Protection to advise the FTC on preventing fraud targeting military veterans and service members and to assist the FTC in monitoring the market for mail, television, internet, telemarketing, and recorded message telephone call (robocall) fraud targeting those individuals. The coordinator must (1) disseminate to veterans, service members, and their families and caregivers information about the most common fraud schemes, including methods of reporting complaints to the FTC; (2) make complaints immediately available to relevant law enforcement authorities; (3) publish information regarding the FTC's enforcement actions; and (4) maintain a website as a resource for information on fraud targeting those individuals.