Cosmos

Guys... Just take trial lessons if you can, otherwise just rank teachers as you're required to based on who you think you might want to study with (base it on their bios, or whatever). There's nothing you can do about politics and there's nothing you can do about whether certain teachers like each other or not. Don't stress out over it. If you're a hard worker and have potential as a musician, teachers will see that and want to work with you.

And anyway, teachers aren't looking for perfect players. They're looking for players they think they can mold into great musicians. If you were already perfect, you wouldn't need to study with them in the first place! I went to Juilliard for 5 years and there was tension among studios, but, in the end, I do believe that all the teachers wanted the students to become good musicians and were willing to help kids in any studio. They're not going to set fire to you if you're not from their studio or something...

Just do your best, play as well as you can, and you'll do just fine. Teachers WANT to like you after all. They're predisposed towards WANTING to take you.