Interesting one for you. The Queen does have the legal might to sack the Prime Minister, but it is unlikely she will exercise such powers:
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		| Can the Queen sack the Prime Minister? Whilst Queen Elizabeth II does have the power to sack the Prime Minister, it is highly unlikely that she would ever exercise it. This is because Her Majesty's role in government is mostly a ceremonial one. And as Head of State, she also has to appear politically neutral and not seen to be favouring one party over another.
 
 "The Queen’s powers rest on convention," Vernon Bogdanor, professor of government at King’s College London (opens in new tab) told the Guardian. "She’s got quite wide legal powers but in a constitutional monarchy she shouldn’t use them except in very extreme circumstances, which I don’t think these would be.
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 https://www.goodto.com/royal-news/ca...inister-646848