FWIW, Breckenridge said on Talking Dead that Jessie and her husband were college sweethearts, I believe at some art school. She got pregnant and they needed money, so he decided to pursue med school full-bore.
She also said their marriage has had its ups and downs and they were now in a down period. Maybe he treats her like crap, maybe he doesn't, but whatever the case may be, her eyes are definitely wandering.
Was Jessie's husband the guy Aaron was referring to, the guy who could pull off minor medical miracles? I don't think Rick's going to kill him, but it makes for some interesting, if unnecessary, tension.