@Infrogmation It's supposed to show up on your Mastodon profile page.

(Basically, the idea is that some web page contains a link to your Mastodon profile with the rel="me" attribute (which the "RealMe" extension provides for WP). Then, when you put a link to that web page in your Mastodon profile, your Mastodon instance is supposed to visit the page and check whether it has a rel="me" link pointing back. If so, a check mark of some kind should appear next to the link in your profile, indicating that Mastodon has verified that the linked page does indeed vouch for you.)

As for why it's not working in your case, I don't know. A working example should look like https://jazztodon.com/@ctproduced (the two web pages vouch for the Mastodon profile by linking back to it).