Well, I'll be damned. I think you're right.
Let's see: the owner lives alone and apparently has no immediate neighbors, so no reason for anyone to be suspicious.
The owner comes home, walks in and says, "What the hell..." and you just plug her with the gun. Presto, change-o, you have a place to stay.
Getting rid of the body...well, she may have had a plan for that, and if so we'll find out soon enough.
Gee. Another thing to worry about... Best to just stay in and Freep.