Get it fixed.
Animals and Pets
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There are cat fences I believe that can work to make sure she doesn't go anywhere. It would be best to be able to bring her inside but as long as she has good covered shelters and fun places to be she may be okay. I'm sure she'll pout about not being able to go everywhere, but she may get over it as long as your yard is cat heaven.
Are you sure this cat doesn't already have a home? Have you paper collared them?
She's already acclimated to you so I would suggest that you just bring her home and see what happens. Stay outside with her for a couple hours at first so she knows you're there. Also I don't know that the climate is like where you live but if you live somewhere cold please get her a little heated house and heated water bowl. The heated houses are more like a heated pad than actual heating but will help keep her safe and comfortable in winter.