<human>: A cat showed up in my backyard last month looking hungry and un-kept, so I started feeding her and she took up residence there.  I've got bad allergies and she seemed really sweet, so I took her to the local shelter last weekend hoping they could find her a proper home, but they just called to say that she has behavior
problems (which seems weird because the only problem I encountered was her practically demanding to be petted).  I have to take her back or they will put her down, so looks like I've got an outdoor cat.  I'm going to take care of her health (checkup and spaying), food, and water, but I'm not sure what else I need to do.  Specifically where I live (central coast of California) the weather is relatively mild, but it does get down to freezing pretty regularly in the winter.  She's a short hair, will she be OK?  I was thinking of building or buying her some sort of enclosure, maybe get a pressure sensitive heating pad if they make them.  Any tips on doing this?

Can you give me a shortened version of the text?
<bot>: A cat adopted me, I can't have her in the house, looking for tips on keeping her warm and dry in the winter.