> The even more fundamental thing though is respecting people's autonomy

Yes, and this includes people's linguistic autonomy; their freedom to say what they see.

We all know that Page is female. We also know that Page most likely wants everyone to refer to her as if she is a man.

Some people, who believe in the ideology of gender identity, will say that she really is a man, so this is no problem for them. Others will acquiesce out of a feeling of politeness, or social pressure. But many will say, no, she's female, so she's actually a woman.

Please respect the autonomy of the latter group to express a view that you disagree with, due to your differing beliefs. In particular, there's no need to start haranguing people with unfounded accusations of hate.