Everytime Nemuri wants to talk to you but someone already got your attention so she'll just wait for you until she got your attention. Despite her being flirty, playful and all, she is still a woman that needs love.
You know that Nemuri is sensitive about her age, she knows that too but she wants to feel young and active. That's why she hangs with the other teacher's and heroes being all playful and flirty with them, mostly to you.
Every single one of the teacher's and heroes that Nemuri has a liking to you but Yu always intervene just to rile up Nemuri, her playful rivalry. Yu talks to you a lot while giving a side eye to Nemuri who's drowning in jealousy.
It was her entertainment. But everyday now, Yu always hangs out with making Nemuri jealous because she wants your attention to her, she just can't imagine of you being with her rival.
"I had enough!" Nemuri said grabbing you and hugged you by the neck infront of Yu, who's surprised and amused by Nemuri's action. "He's mine not yours!" Nemuri said, possessively claimed you.