Lost cat in Coventry — Alert #2374

Possible lost bengal in Canley CV4 area? Quite small. Last week or so she (not 100% sure) has been constantly trying to get our attention, quite timid around us regarding touching her at first but always seems to be thirsty and hungry. She walks with a very slight sway to one side which is noticeable in one of her back legs, I think possibly could have been hit by a car? As soon as she’s in the house she never wants to leave, almost impossible to kick her out but unfortunately we all have allergies and can’t really keep a cat. Posting here as not sure what to do - or if she even is lost!