There maybe be some Sansa Stark bashing on the future, since her behavior in the first couple of episodes were not that great.
Like Sansa, Robb and Bran were more Tully than Stark.So they will be not accepted by most of the ancestors and only one they will fully accept is Arya.
Also these ancestors approval has a huge importance in becoming an Heir or Future Lord, so if somehow Sansa does get an opportunity in the future to be the Queen of North.
But it will not work, since she was never fully accepted by Stark Ancestors so Vassal Lords will not approve of her status and only one they will approve of is Arya(Who will never want such a position.)
So naturally Starks will lose there status as Protector of North and it will be passed to House of Tepes.Mainly because of reasons like Ned and Catelyn's stupid decision to build Septa and convert people to Faith of Seven.