Automated accessibility testing involves running a page through tools and software to detect errors. Manual testing involves humans testing pages. Automated testing can be faster, but automated tests can't catch every error. Thus, use both automated and manual testing.
A lot of big breaking news stories involve visuals, such as timelines of events, photos, memes, and screen shots. All of those images need alt text. All of them. Don't leave out people who use screen readers.
Hyperlink text should make sense when read out of context. Screen reader users can navigate from link to link, and can listen to links in a list. When navigating this way, only the link is read. So "click here" or "read more" won't make sense.