I know the OP already got what they were looking for but I want to add to this:

Quote Originally Posted by MOZZYSTAR View Post
Unfortunately, if you want to prevent them from viewing your Lodestone, you may have to change characters all together. Even if you were to change your character's name, they'll be searchable on Google or by their Lodestone ID.
Google searching a character can also bring up forum posts if that character is set as the forum avatar. The forum profile can show every existing character on the same account, although I don't remember if the default setting is to hide or to show them. If you want to hide a new character from stalkers you need to make sure that the new character is set to invisible in your forum profile ("Edit Character" menu -> click on the character so it goes gray). Only the character set as the main character or your "forum face" cannot be hidden.