edit: why are people down voting my comments just for asking questions. man I'm not trying to take sides. just trying to learn.
If you briefly explain why you think it shouldn't have continued, I think we can generate a quick bullet-point list as why it did. You seem to have an expectation there is some sort of contradiction in the Church's survival.
Edit: folks, this is AskHistorians, please don't downvote OP for asking questions.