Actually, it wasn't a question on the other swap. This questionnaire is almost exactly the same.

There really are not that many people with a large amount of different kind of pets, such as yourself.

I don't think it's very hard to just say "I'd like to send to somebody with just cats" or something like that under this question:

16. If you have any specific requests or questions please address them
here.

If you don't say you have any specific requests or questions you are saying you don't care who you send to...so we'll have you send to whoever we choose.