Fox News isn't journalism. It's opinion wrapped around selective "reporting".
EDIT: Yes, of course it's impossible to eliminate bias. To extrapolate from that to accepting overtly biased and selectively published content as journalism is unsupported, at best.
It's the selectivity of reporting that compromises the claim of journalism, not the bias. When you don't report on things that don't support your narrative, you're no longer reporting.
It really doesn't, though. You don't have to be unbiased to be a journalist, a journalistic entity, or whatever you want to call it.
Fox News, biased as it is, is still news.