You're not wrong, but the British monarch (not the Archbishop of Canterbury) is the head of the Church of England and, as such, is not permitted to divorce or to be married to a divorcee. (That has possibly changed now, since Charles married Camilla but I'm not a royal follower and am not sure if she was married previously.)
But there's a parallel to your comment. In the period after America kicked out the English there was a dispute in scientific circles about the relative value of knob-ended versus point-ended lightning conductors. Because Edison -- a pesky American -- was a "point-endian" King George directed the Royal Society to find in favour of the knob-endians. He was told, "You can change the laws of the land, your majesty, but you can not change the laws of nature."
But George held firm and a knob-ended conductor was installed to protect a royal navy munitions dump. I don't have to tell you what happened next but Edison's point was made and Geordie had to admit that even Americans couldn't be wrong about everything.