In all seriousness, please don't blame me for being ignorant - the current mainstream media is filled with the vilest, most vitriolic bullshit, so I've stopped watching the TV, and then there's hardly a few legitimate news sites with proper Atom/RSS support that I can keep track of.
Regarding RSS feeds:
The Hindu has RSS feeds
Their articles are behind a paywall, but their titles are not too clickbaity, so I do get an idea of the news. If you use firerox then reader mode can help.
Then there's rss-bridge, which you can help you get things into rss feeds.
They have public instances and I think one can even host it, if one wishes to.
https://github.com/RSS-Bridge/rss-bridge
I use the css selector bridge for some local news websites that don't have native feeds.
The rss radar extension also helps to know whether websites visited have rss feeds.
And google news also gives feeds(if you don't want to avoid it) if you use /rss/in their url.
https://stackoverflow.com/questions/51537063/url-format-for-google-news-rss-feed