@abde Indeed, it is just an icon. :)
But if you want to prove you're really who you claim to be, and you've got a site under your control, look at Settings > Appearances, scroll down a bit for verification info. Then you can show on your profile page that you're indeed associated with that site and you are what you claim to be.
@abde Exactly. So if you're a celebrity, of course you would have your own site. And you simply utilize said site as verification tool.
Although a celebrity can also host their own Fediverse platform with their domain name, but that's effort they might not want to do.
@trinsec Oh, that's an original way to verify yourself without any kind of authority by the simple mean that your profile has to be a well-known space.
You verify yourself, as it should be!