SO that girl is probably Himeragi and Kojou's daughter. How she calls Nagisa Aunt. How she says that Natsuki is the same as she hasn't grown. How she says that Yukina and Kojou's relationship is a bit different as if she was informed by someone *her parents* about their relationship. Finally she calls Asagi Doc and Asagi has a bright future so that' probably what she would become in the future.
But getting turned on because of a girl, that's so like Kojou-kun's daughter