Considering what happen in Australia I believe during the 1970s when the Royal-Governor intervened how that fed republican feeling I doubt the Queen given she is pretty sharp will repeat that mistake.
It wasn't a mistake. It was the system working exactly as it was meant to work. The only people with their knickers in a twist about it in Australia were the radical leftists who didn't like their totalitarian Prime Minister being sacked for trying to break the law and ignore the constitution. And they were republicans to begin with. Because the left tends to dominate academia, they've managed to spread this idea that the Dismissal in 1975 was some type of grave injustice - it wasn't. It was the Governor General doing what he was supposed to do to deal with a government that was trying to ignore the law, and the Constitution. And the Queen would do exactly the same thing in the UK if needed. The difference is no British Prime Minister is likely to be as stupid as Gough Whitlam was - he managed to convince himself that the Governor General could not act without his permission despite very clear information that he could.
OH!
Their “Queen”....