Reading RSS feeds in native iOS 8

If I click an RSS feed in Safari on iOS 8, ie. from this page, the Podcast app is mysteriously opened, showing the feed as if it were a Podcast. The feed cannot be read however.

I would expect the feed to open in Safari itself, since it has the same "Shared Links" section as Safari on OS X. But there seems to be no way to use this section for reading RSS feeds.

I can't even delete the Podcast app either, as it seems to be an integrated part of iOS now.

So how can I read RSS feeds using native iOS functionality (save from installing a third party RSS reader)?