People always say that one is supposed to search for a spouse from a good family and I find some logic behind it. Any person is highly influenced by the family and even if he/she managed to grow up without losing the moral compass, hang-ups and personality disorders are still a threat.
She's charming, educated and nice, I don't see a problem here, especially if your cousin doesn't take her divorce too close to heart. I think they should give it a try.