She'll survive. We have a lot of faith in Sansa. No matter what horrors she's gone through, she's always managed to outsmart her opponent and pull off a victory, which makes us think she'll be one of the few left standing when the snow settles following the Battle of Winterfell. She's also one of the only people we've seen who's capable of being a decent leader so we'd bet that she'll maintain her position as Lady of Winterfell for years to come.