Hm. If they seek to have a degree of influence over him, we could use this to our advantage. Jun is a taijutsu spec, which means that Kenzou's melee weapons skill will eventually outback Jun's.
We could use that favor so that she arranges for a Melee Weapons tutor for Kenzou. Her clan would get a limited degree of control/influence over Kenzou, and he would get skill growth.
I'm not sure if we could extend that favor to benefit the rest of the team, though, since she seems primarily interested in using Kenzou's combat abilities to protect her own clan genin and/or bring fresh blood into the clan via marriage.
If her goal is the latter, though, then a Clan-Kenzou probably wouldn't be allowed to marry his civilian girlfriend