1. Someone who disdains all other news sources other than talk radio and Fox News. This person typically needs all news to be provided in a way that is congruent with their reactionary political philosophies. Any news presented in a way that conflicts with their view of the world is "liberal". Short of rape or murder, Fox Headed people will support conservatives no matter what.
2. One who has a hard time with any sort of cognitive dissonance with respect to news events.
She's so Fox Headed, she still believes the war in Iraq is going well and that our military presence is welcome in the Middle East.