For Steam players, Destiny will only display what your current Steam display name is set to. If a friend of yours has renamed you on their friends list to be your given name, then that will show [u]for them[/u] instead. Destiny does sometimes get confused and swap between the custom display name and the real one, but it will only ever show what you have set as the display name. Additionally, your Bungie profile name will be what you set it to, and it defaults to the platform account name that first created the profile. If you've only had Steam, this would again be your Steam display name. Your characters, when inspected directly, will be what your current display name is, or at least when Bungie last updated that information from Steam. Your Bungie name can be changed in the Settings, though yours currently seems fine. EDIT: Upon reviewing your other comment on this, if your badge is going to black and back, the information that is listed in that badge is coming from Steam, not Destiny 2. You might want to quit Destiny 2 and restart Steam to see if that resolves the issue.