It's very clear from the number of times that this specific issue has come up, and from the completely worthless "self-help" tips that are too arcane, and too ineffective, that Google News simply does not have the integrity to allow individual users to make personal preferences about which so-called news sites are displayed at news.google.com
Many, many people have expressed the opinion that FOX News and the Wall Street Journal are nothing more than propaganda arms of the Republican party and Rupert Murdoch's News Corp.
Individual people do have the right to hold this opinion.
Individual people should have the opportunity to act upon their opinions, and eliminate any "news" feeds from FOX News and its affiliates, and the Wall Street Journal, if they so choose.
Since Google is entirely unresponsive to the requests of so many people, I for one will take the only action that one person can:
I've closed the browser tab that used to point to news.google.com for good, I'm gone, and I won't be back.
See ya...