You could keep her outside in a garage or outbuilding. Give her a space of her own with a box or bedding of some sort with her food, water and litterbox close by and put her a heat lamp near if the weather is to cold. Lots better than dumping her of...
Has anyone ever had a female cat that eats paper? She is 2 years old and will strip paper from a magizine or just loose leaf paper and eat it. So far it has not harmed her.