To distribute content on News, you need to complete a sign-up and approval process. Use the iCloud-based News Publisher tool to register as a publisher, add your feeds, and get your channel approved.
News Publisher: icloud.com/newspublisher
I signed up my blog.
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You can have channels, but I just signed up using my main RSS 2.0 feed using the name Off On A Tangent and the image Steve Garfield.
It'll be interested to see if I get approved and how my feed looks on Apple News.
Update: Looking into Blogger Topic RSS 2.0 feeds.