Have you thought about calling in a non-confrontational way and trying to get an explanation as to why the cat has to go? If it's a case of common misconceptions and old wives' tales, you may just be able to save this cat from being rehomed, if you approach it with sensitivity and do some research first. (eg this

(I often phone the "Free to Good Homes" ads around here and explain the shortfalls - some people are extremely rude, but others are willing to listen and take advice)

It's worth a try - what's the worst that can happen!?