Seems pretty clear to me: Google doesn't show the website link in the top 3 results but shows a lot of fact-checking sites in the top 10. It definitely should show the site at #1. The number of fact-checkers shown seems a little excessive but as long as they do something similar for equivalent left-wing sites, I don't have much of a problem with it - The Gateway Pundit publishes a lot of made up bullshit
For me, the website link is literally the first link on Google.
Ah, personalization. It's #4 for me in the incognito mode.