Apocalyptic Era: Starting from picking up a Bishoujo

I found a girl of unknown origin outside; she claims to be a time traveler from a post-apocalyptic era.
Great calamity is imminent, with abominations spreading across the land, human civilization annihilated, and even the world itself shattering, all beyond redemption.
As for myself,
I am considering how to confine this beautiful girl, who has temporarily lost her powers, within my home.