1) she did not produce a suitable heir (even William openly shacked up with his future wife)
While imperfect, the Future Duke and Duchess were making the best of a bad situation. Had they just been a normal couple without the inherent problems of Royalty and modern celebrity culture on their relationship, they would have been married years ago.
2) she has lead her church to become a New Age multicultural gay yoga club
You can't put that on the Queen. While nominally apppointed by her, the bishops are actually nominated by a committee which sends a nominee to the Prime Minster, who then sends it to the Queen. She has no direct control of the process.
RE: She has no direct control of the process.
In other words, her role is simply to rubber stamp the process, even if she personally disapproves of those nominated?
If the answer is yes, why can’t they just replace her with a robot?