First I need to laugh (at myself) because when you said you have a 2 1/2 year old, who couldn't come along, I thought you meant a CAT!

OK. I could not see the cat's petfinder page. It is a kitten or an adult?

ASK if the cat has been around toddlers.

ASK about his/her personality? (laid back, active, shy......)

ASK about vet info (shots, testing, worming, flea treatment, neuter......)

LOOK for obvious signs of illness. (red or runny eyes, runny nose, is the coat shiny.........)

ASK about a return policy if it does not work out.

and ARE you allowed to have pets according to your landlord????

Good luck.