Eh. Smoke really isn't that hard to deal with when you have a guy whose power involves wind. It seems like the mangaka made the veteran ninjas hold the idiot ball to make Enjin look stronger. Watching your back is basic beyond belief.
Was Shige trying to place her stake by getting into Gotou's head and isolating him from the other girls? If so, probably would have worked if it wasn't for Kiyo popping up out of nowhere and committing crimes.
Looks like she could be Prez's mom off of looks alone. May just be a teacher/faculty or staff member who's aware of the stupid shit Gotou has been getting up to.
I don't get why it's so difficult for significant others to talk about their desires with each other? Or about lack of sexual fulfillment. Just say you want more? Duh?
Honestly, he doesn't deserve her. I guess she's the type of girl who likes scummy, sleazy guys, considering she has some kind of affiliation with Inukai.