Oh, okay, so that is your objection?
Then it is still Woke government compelled speech, only not by law, but by misinterpretation of the law by Woke officials in official documents.
Fine, then Woke government officials interpret the law as compelling speech, and make their interpretation official.
No, it's not. It is giving a protected class the protection against discrimination in employment, public accommodation, and public housing that other protected classes have. The same law protects against racial discrimination, but it is not in the law that you cannot use the n-word repeatedly and deliberately when you are hiring, providing public accommodation, or public housing for African Americans. On the other hand, if you do that, you are likely going to run up against this law, because in practice one of the guidelines being used is that doing so is an indication of racial discrimination. The n-word is a well known way of denigrating African Americans, so there is no reason to put that guideline into print, though I wouldn't doubt that such a document exists somewhere. Transgender as a protected class is a recent development, and many people are not aware of the things that can be demeaning to transgenders and are indicative of discrimination. That is why these guidelines were published.
It does not compel speech any more than laws against racial discrimination compel speech.