Lets start with Fox is not the press... free or otherwise. Fox is not a news orginization.
Main Entry: 1
press
Pronunciation: \ˈpres\
Function: noun
Etymology: Middle English presse, from Anglo-French, from presser to press
Date: 13th century
1 a : a crowd or crowded condition : throng b : a thronging or crowding forward or together
2 a : an apparatus or machine by which a substance is cut or shaped, an impression of a body is taken, a material is compressed, pressure is applied to a body, liquid is expressed, or a cutting tool is fed into the work by pressure b : a building containing presses or a business using presses
3 : closet, cupboard
4 a : an action of pressing or pushing : pressure b : an aggressive pressuring defense employed in basketball often over the entire court area
5 : the properly smoothed and creased condition of a freshly pressed garment <out of press>
6 a : printing press b : the act or the process of printing c : a printing or publishing establishment
7 a :
the gathering and publishing or broadcasting of news : journalism b : newspapers, periodicals, and often radio and television news broadcasting c : news reporters, publishers, and broadcasters d : comment or notice in newspapers and periodicals <is getting a good press>
8 : any of various pressure devices (as one for keeping sporting gear from warping when not in use)
9 : a lift in weight lifting in which the weight is raised to shoulder height and then smoothly extended overhead without assist from the legs — compare clean and jerk, snatch
press - Definition from the Merriam-Webster Online Dictionary
If you have to resort to redefining English words to make your arguement, you're way past losing it.
You may not like Fox, you may think their journalism is bad, or biased, but it doesn't change the fact that they are a part of the news media.
I despise MSNBC, because it is completely biased. But its still technically a news organization.