Appearance also matters. Describe her in a way that fits the Gokusen world. If the Gokusen world is full of students with unique styles, give her a style that stands out but also blends in. Maybe she has long hair that she always ties up in a special way. And don't forget her relationships. How does she interact with her family members? If her brother or sister is a tough character in Gokusen, she might have a love - hate relationship with them where she admires their strength but also gets annoyed at their overprotectiveness.
To create a believable character for a Gokusen OC sister fanfic, start with a clear personality. Decide if she's going to be feisty like the main characters or more laid - back. For example, if she's more laid - back, give her reasons for it, like she grew up in a different environment that taught her patience. Also, give her some quirks, like she always has a lucky charm with her.
A believable character should also have goals and dreams. In the context of a Gokusen OC sister fanfic, her goals could be related to school, like wanting to improve the school's art program. Or it could be personal, like she wants to overcome her fear of public speaking. As she pursues these goals, she'll face obstacles and grow as a character, which will make her more believable to the readers.