Who Gets Winterfell After This Week's Game of Thrones Episode?

Technically, with eldest Stark son Robb dead, Jon's status as a bastard, and Sansa being a girl, Bran is next in line to rule Winterfell. However, as far as Winterfell knows, he's currently dead or MIA. He's also busy dealing with White Walkers and maybe becoming the next Three-Eyed Raven. But if he does end up back home, perhaps there's a chance he'll decide to take on kingly duties.