I guess the actions of the Pope would not bother the Queen at all indeed. It is just the argument that the Queen apparently could not step down because she has been anointed, blessed and consecrated. That argument has been countered with the examples of the Pope or -better- the supreme leader of Her Majesty's very own Anglican Community which is The Most Reverend and The Right Honourable The Archbishop of Canterbury, Primate of All England.
Recently we saw the enthronement of Justin Welby, very much alike a coronation service. Engaging into clegry, all Archbishops of Canterbury have been anointed, blessed, consecrated. All Archbishops have been enthroned in a lavish ceremony. All of them made vows before the Lord Almighty. Usually all Archbishops of Canterbury died as Archbishop indeed. But the last 8 Archbishops all retired from their High Office, with this breaking centuries of tradition. So even the Church of England is able to cope with changes...