Religious Worker Visa Reciprocity Act of 2019 This bill places restrictions on the issuance of special immigrant visas for religious workers. No petition for such a visa may be approved if the alien's country of nationality (1) is identified in the 2018 International Religious Freedom Report as a Country of Particular Concern or a country where religious freedom is of significant interest or particular concern, or (2) does not provide similar immigration treatment to U.S. nationals.