I know when I have brought cats to certain shelters they have asked me to fill out forms asking if the cat has been exposed or is ok with dogs, other cats, children, etc. That form is useful when they go through the adoption process. You could do the same.
You know, when I had my 2nd foster kitten litter (10 years ago?), I let little Dorian (yes, he is grey- no jokes please!) get adopted to a single mother and 10 year old son. He was a fine kitten, zoomed around, seemed normal etc. But after 3 days they called Animal Umbrella and said, come get him, he's been hiding under a bureau since we adopted him. So I met them at a mall, and took him back. Dorian wailed and bit my fingers through the carrier all the way home and to this day loves to bite my finger tips (never did that before the adoption). It's gentle but he can get rough about it. It took him a few years to adjust to home life for some reason but for the last 4 years, he has been a sweetie. He is in my lap at least once daily but never was before the adoption. He actually seemed to love me more after the experience because even though he was a joyful kitten, he was not a cuddle kitten by any means. i couldn't bear to let him go out for adoption after that horrible experience. I was mad that they only gave him 3 days to come around and decided no one would love him as much as me! (are we not attached to our fosters or what!?). He is still with me and a big love bug.
Point is, I learned to say exactly what the cat has and has not been exposed to and that they may hide and what to do... if they say forget it. then, well, I guess that's for the best.