She stuck at it and didn't abdicate. I do respect her for that.
But again, this can also be a stubborn way of clinging on to a role, regardless of whether or not the public want you to stay in it. Often, it's the right and noble thing to accept that the people want somebody else instead of you.
Can you imagine if Keir Starmer had point-blank refused to stand down when it was clear that he had lost the trust of his party and the public to do the job? Arguably, he had far more right to stay on until the end of the duration for which the public had voted in his party, knowing that he was the leader.
By stark contrast, nobody ever has or could vote the monarch either in or out; TLQ could hardly say that she owed it to the people of the UK who had actively put their trust in her, because she was firmly promised the role the moment she was born whether anybody who was already alive or would be born during her reign wanted it or not.
I do think that, if she had been an elected politician, apart from anything else, her staunch support of Andrew, paying off his alleged victim, bailing him out, refusing to allow him to be put on trial... this would have so clearly made her position untenable and she would have been expected to stand down (or be stood down) promptly.
Politicians don't get to just make a speech on Christmas Day, acknowledging that they have had 'a very challenging year' (with the undercurrent of 'aren't I marvellous for managing to get through it') when they have been actively involved in seriously murky, potentially criminal business (or indeed not acknowledging it at all and just ignoring it) and keep merrily on regardless.
Having a leader who is untouchable, unsackable and immune to prosecution, no matter what they might do, is certainly not the kind of thing that any truly democratic country would ever countenance.