Fuyutsuki is a teacher at the same school as Onizuka, having gone to the same job interview as him. Unlike him though, she wasn’t rejected at first.
After she hears Onizuka’s first speech in the series (about teachers calling their students trash), she becomes a great admirer of Onizuka, which eventually leads to her developing romantic (and sexual yukyuk) feelings for him. She is also very attractive, which leads to her female students bullying her out of jealousy.
She has a very nice personality, being somewhat innocent too, occasionally being disgusted by Onizuka’s pervertedness. She also makes an effort to be respectful and friendly (unlike Onizuka), which also contributes to her being bullied. later on, she does loosen up a bit, after taking Onizuka’s advice to treat the students as people.
Despite her enthusiasm for teaching, she struggled with why she wanted to teach in the first place, not really understanding why she was attracted to the idea of being a teacher. Over time, however, she finds a reason for being a teacher, partially with Onizuka’s help.
Due to her friendliness with Onizuka, she ends up taking his side most of the time, which also gets her on good terms with the class 3-4 students (at least those on Onizuka’s side).