She has no hard political power and can't direct politics, but she has soft power in that she's a queen and people listen to what she says or try to curry her f

She has no hard political power and can't direct politics, but she has soft power in that she's a queen and people listen to what she says or try to curry her favour; the soft power of a ceremonial head of government. It's a complex picture. Oversimplifying quite a bit, if parliament were to 'cut her off', everything with "royal" in it would become "federal". Curiously, they'd actually lose on the deal financially if they got rid of the royals - the UK government manages the royal estates because of a deal back in the day, and they bring in more money than they lose (before even getting to tourism). The estates would revert to the family in such an event, as I understand it.