In OTL, if she and the Prince of Wales did consumate the marriage, no children resulted from it. What if instead she gets pregnant, but Arthur dies per OTL, and the child of the union, a son, is born in August of 1502 (let's call him, I dunno, Edward). What happens to the succession? Does Catherine remarry? Does Prince Hal go into the Church - perhaps does he become Archbishop of Cantebury?
What do you guys think?