There's no way FIFA would kick out Fox for presenting any kind of critical coverage. Fox has paid big $ for those rights, and those revenues are FIFA's lifeblood. And FIFA has already screwed over the world's broadcasters by playing what was supposed to be a summer tournament in the winter. Obviously, having awarded a competition to a country where it gets dangerously hot during the northern hemisphere's summer, they couldn't do anything else.
I mentioned that the BBC ditched the opening ceremony (you could stream it if you really wanted - although WC opening ceremonies are nothing like Olympic ones) for presenting a wider picture. ITV, the joint UK-rights holder has done the same. So there's nothing stopping Fox apart from perhaps their commercial considerations with Qatar Airways! There was a clip - featured in John Oliver's piece - of a Danish reporter getting stopped during a live broadcast earlier this week which was then picked up globally. I suspect pretty much every European rights holder is covering human rights issues to one extent or another. Then there are the news hooks of the OneLove armbands various European team captains were prevented from wearing at the cost of gaining a yellow card and potentially impacting the field of play.
Even more important than the booing of the Iranian anthem was the Iranian team's refusal to sing their anthem. Who knows what the repercussions will be when those players return home?
I obviously don't know how Fox is doing their coverage, but the whole process of teams entering the stadium, warming up, standing for the anthems and so on, is tightly choreographed to allow commercial broadcasters to go through team line-ups, have introductory comments, and still find time for commercial breaks.
These days, there are loads of good books and documentaries about the history of FIFA and its general corruption. A series I've not seen just dropped on Netflix last week. But I first read about all of this years ago, via a fantastic British journalist called Andrew Jennings, who died at the start of this year. Over nearly 30 years, he wrote books about corruption within the IOC and FIFA, and generally made himself a complete pain, working on TV docs and writing for newspapers alongside his books. I doubt that his work is easy to come by in the US, and much of it will have been supplanted by now, but if you do find a book, they're very readable.
Adam