This is exactly the popular misconception of "freedom of speech." It doesn't mean you can say what you want and get away with it without repercussion.

It means only that you cannot be preemptively stopped from speaking. But even that's not always the case; a judge can issue a gag order, an NDA limits your ability to speak, when you a social media platform one of their of use may be no racial or political talks, etc.

But having the freedom to do something doesn't always mean that you should. You have the choice. She CHOSE to speak her bigotry. That kind of thing comes with repercussions. Don't want to get kicked off your own TV show? Maybe don't be a big-mouthed bigot.