Restoring Rights of Medical Residents Act This bill repeals the antitrust exemption for graduate medical resident matching programs. Currently, the National Resident Matching Program (NRMP), a private, nonprofit organization, generally matches graduate medical students with residency positions. In 2002, a lawsuit alleged that the NRMP violated federal antitrust laws. The Pension Funding Equity Act of 2004 established the antitrust exemption for such programs and the lawsuit was subsequently dismissed.