I fully support this lady’s “right to say dumb shit on the internet”, but if Gina Carano can be fired by Disney for her tweets, so can she (who actually wasn’t even fired). Freedom of speech isn’t freedom from consequences.
There's a difference between being fired for an innocuous negative joke about a company and being fired for transphobia and antisemitism .
If someone says that "We in group X have it as bad as the Jews did in Nazi Germany", that doesn't really sound antisemitic to me. It is probably representative of a vast misunderstanding of history, but nothing about the statement says that she hates Jews.
Likewise, if you say that you think it is silly to be forced to label yourself with your pronouns, that isn't really transphobic in my mind. You can be perfectly okay with trans people, but not like the idea of being socially forcing 99.4% of the population to label themselves for the benefit of 0.6% of the population. Anyways, I didn't even realize pronoun labeling was about trans, I assumed it was more for non-binary people. "I may look like a male and present as a male, but don't you dare use 'he/him' on me, I am a 'they/them', because I am one of the few to contain multitudes"