This is such a cool idea!

I like the idea of Skadi either choosing without knowing who it is, and also a version where she gets a common route and gets to pick.

Also, so much worldbuilding potential, and "outsider joins new society" potential. o.o And the vengeance and honor and Skadi-ness of Skadi is deeply interesting to me.

And oh goodness, I kind of want to see the Loki route.