Did King Henry feel that he had failed as a king since all his marriages were rather short and ill-fatedand and because he had only one male heir?

I don't think Henry would have seen it that way. He was paranoid about having a son but then that was natural for a King to want and then he had Edward so that was a triumph. I think Henry would have seen his reign as a success. His father had founded the Tudor dynasty so things were still quite "shaky" in that respect when Henry came to the throne. Some saw the Tudors as usurpers and Henry knew that he had to face challenges to his throne and authority head on. He was successful in facing these challenges and he hung on to the throne, passing it to his son successfully and without challenge, and that was an achievement in itself.

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