Edward Rutledge was an Anglican.
He was identified as a member of the Church of England by the 1995 Information Please Almanac. (Source: Ian Dorion, "Table of the Religious Affiliations of American Founders", 1997).
From: B. J. Lossing, Signers of the Declaration of Independence, George F. Cooledge & Brother: New York (1848) [reprinted in Lives of the Signers of the Declaration of Independence, WallBuilder Press: Aledo, Texas (1995)], page 212:
After receiving a good English and classical education, young Rutledge commenced the study of law with his elder brother, John, who was then a distinguished member of the Charlston bar. As a finishing stroke in his legal education, preparatory to his admission to the bar, he was sent to England at the age of twenty, and entered as a student at the Inner Temple, London, where he had an opportunity of witnessing the forensic eloquence of those master spirits of the times, Mansfield, Wedderburn, Thurlow, Dunning, Chatham and Camden... A number of Inns of Court, or sort of colleges for teaching the law were established in London at various times. The Temple (of which there were three Societies, namely, the Inner, the Middle, and the Outer) was originally founded, and the Temple Church built, by the Knights Templar, in the reign of Henry II, 1185. The Inner and Middle Temple were made Inns of Law in the reign of Edward III., about 1340; the Outer, not until the reign of Elizabeth, about 1560.From: Robert G. Ferris (editor), Signers of the Declaration: Historic Places Commemorating the Signing of the Declaration of Independence, published by the United States Department of the Interior, National Park Service: Washington, D.C. (revised edition 1975), page 129:
In 1792 his first wife died and he remarried. To crown his achievements, 6 years later the people of South Carolina chose him as Governor. But, his health poor, he died at Charleston early in 1800 at the age of 50, nearly a year before the end of his term. The yard of St. Philip's Episcopal Church is the site of his grave.