Special Envoy to Monitor and Combat Anti-Semitism Act of 2017 This bill amends the State Department Basic Authorities Act of 1956 to provide that the Special Envoy to Monitor and Combat Anti-Semitism shall have the rank of ambassador and be appointed by the President by and with the advice and consent of the Senate. The Special Envoy shall: (1) be a person of recognized distinction in the field of combating anti-Semitism or religious freedom; (2) serve as the primary advisor to, and coordinate efforts across, the U.S. government relating to monitoring and combating anti-Semitism and anti-Semitic incitement in foreign countries; and (3) report directly to the Secretary of State.