Your question was: Feelings for Divorced Man.
If he's newly divorced you should just back off for now. From what I know about newly divorced people, they are not ready to start dating (online dating with Match.com) anyone. Do yourself a favor and just be friends with him and don't mention any feelings you have for him. All you'll end up doing is being the rebound chick and nobody wants that title!..
I reccomend staying friends, right now he's not emotionally ready for a new relationship, and again you don't want to be the rebound. I've been there and it's no fun, stay the same be his friends and allow him some time to figure things out. All the best,*..
You say you are not looking for anything serious. A newly divorced man may be looking for a little action, but will not be emotionally available for a while. So if you do decide to hang out, go for drinks it could lead to sex. If you are confident you can stay emotionally detached then proceed with caution...
It's just been a few months , it sounds like you might be rebound, would that really make you comfortable? How well do the two of you know each other? How much do you care? First be aware of your motives and desires before broaching it to him. Though you can just see where he's at, how he's recovering , what he's looking for, etc..
But being someone's rebound can be painful so just step carefully.