Will Anglican Archbishop Rowan Williams Be Replaced By Someone Who Thinks Gays Can Turn Straight? While the article may disagree -- Archbishop Rowan Williams is probably one of the more moderate Leaders of the Worldwide Anglican (Episcopal) Communion (which is the third largest Christian Church in the World today). Before his appointment as Archbishop he has been known to be rather supportive of LGBT rights -- since his appointment he struggled to maintain unity in the church and moved to a more status quo or moderate position. I wouldn't argue he was anti-gay. However, a number of the leading contenders for his job are.