Is naszych kobiet genitive? Have we learned this form before??
I don't know if you have learned it (although you're level 10 so I assume there was a lot of Genitive), but yes, it's: nie widzę (kogo? czego?) naszych kobiet = Genitive.
From my understanding of genitive in German and Latin, Genitive is for "of the woman" The woman here in this sentence is a direct object, so wouldn't it be dative?
Classic Polish move to make the undeclined form the genitive plural ;P