Sometimes I feel overwhelmed by news fatigue. In my case I believe it is because I am allowing too much exposure to "breaking news" on the cable news channel of choice in our household. I get relief by giving cable news a rest.
I think it is possible to take control so that I still get a feed of credible investigative journalism, while being tuned out of cable news. A low cost way is to subscribe to ProPublica.org stories via email. I would only open the stories that interest me. If I know that stories about rape and sexual assault tend to upset me, I can simply delete those stories unread. Or, if I start reading something and it reaches a level of disgust, I can hit the delete key.
(I also have a print subscription to the Sunday New York Times, and with that I get a daily news feed from NYT by email. This is more costly than ProPublica. I treat the NYT News and Opinion feed the same way -- only reading that which interests me.)
Socially I may find myself in a group that is animatedly talking about a recent sensational news item that I really don't know anything about. I cannot contribute anything to these discussions... but I can sometimes change the subject.