She can only turn into her were-hakutaku form on a full moon, so there's no worries there! She'll looking just like a normal person (with white and blue hair).
I just checked what the shelter thingy says, and it actually sounds like a room gets two cots? So they could be sleeping in two separate spots? Since she only came in this round, so I'd think she'd have to find a place to stay in the shelter. So I guess it depends on if you'd want it to be that Loki decided to cram them onto one bed together (which sounds like it'd work if Keine ended up sleeping on top of him), or in two -- that could be placed right side by side to each other?