pets that don't have equip sets like the "draw your own pet" contest usually show up on eTO in the world star boxes.
We ask you to not talk about 4th job or your thought up skills here as that's the most requested info on this thread, and we don't want to have to spend weeks telling people "no that not a fact, just something someone made up." Also I don't care how many times someone suggests it there will be no 4th job. Based on the back story of the game the harkon compass you get when you turn 3rd job is proof you're the best you can be. Oh and the creator, not a worker, but the man that made trickster flatly said "there will never be a 4th job".
the kitsune doesn't have an innerwear, she has a weapon, hat, shield, accessory, and cape. And yes she could show up on eTO, but no one can tell when or how till eTO does it.