I’m sorry if what I’m about to say is completely wrong, but I disagree with calling Fox News liberal. I don’t think words have absolutely constant meanings, their definitions can change if people start using them in a different way. That has happened with the words “liberal” and “conservative” where they are used to refer to a different set of political positions than 200 years ago (mostly because people advocating for feudalism and aristocratic rule are few and far between nowadays). So I think that Fox News would be “liberal” in the original meaning of the word, but not in the current understanding of the word.