Rupert Murdoch is a big Hillary donor. He will make sure Fox slants everything to boost Jeb Bush as the GOP candidate because he will be easy for Hillary to beat.
Or just because he'd be happy with either in office.
I don't think it's so much that he loves Hillary. He recognizes that the parties alternate in power and she's a Democrat he can live with, like Tony Blair was a Labourite that he could live with.