remove Fox news

You can't remove it but you can block it.

Read the latest headlines in the Apple News app - Apple Support

Dislike and Block

Tap or click the Dislike button  to dislike a story and see fewer things like it in your feed. On your iPhone or iPod touch, you can also swipe right on a headline in Today to see the Dislike option.

While reading a story, you can tap the Share button  and then choose Block Channel or choose File > Block Channel or File > Block Topic to stop seeing stories from that news provider or topic. To view your blocked channels or topics or to unblock something, go to Following > Blocked Channels & Topics on your iPhone or iPod touch; scroll to the bottom of the sidebar and tap Blocked Channels & Topics on your iPad; or choose File > Manage Blocked Channels & Topics on your Mac. If a story is in the wrong section, doesn't display correctly, or contains offensive language or content, you can report it. On your iOS device, while in the story, tap the Share button  , swipe left on the bottom row, then tap "Report a Concern." On your Mac, choose News > "Report a Concern" from the menu at the top of your computer screen.