Does anyone know how to show your current PSN name instead of the old TheShowAccount name

[ThrowingKnifeAim_PSN]

Let me clarify my situation. I have a The Show Account and a PSN under the same name. I changed my PSN a few months ago, to what the username is that I have now here (ThrowingKnifeAim). When I look on the leaderboard, my old PSN name/my other The Show Account name displays on the game, and it probably displays on my friends' friend list as well. I have already unlinked my old The Show Account (with my old name) from my current PSN.

How do I make it so that everyone can see my current PSN name instead of my old PSN/other The Show Account name?

I don't want people having to look for my under my old username whenever a friend needs to invite me to a game.