Perhaps she'll meet older, more experienced students who can act as mentors. These students could introduce her to secrets of the new school that are not easily accessible to newcomers. They might also help her with any homesickness she has for Hogwarts.
Well, she might face new challenges. In a different school, the curriculum could be completely different. Maybe she'll have to learn new spells or magical theories that are unique to that institution. She could also meet new friends or rivals. There might be a different social hierarchy compared to Hogwarts, and she'll have to find her place in it.
Well, perhaps the plot could involve Hermione facing challenges in a male - dominated military school environment. She might use her intelligence to outwit bullies and excel in military tactics and training.
Obviously Hermione herself. There could also be the military school instructors, who might be strict and tough. And some of her classmates, perhaps some are friendly and others are rivals.
At first, Hermione would likely be a bit of an outcast. But she'd soon start to make an impression. She'd adapt by using her study skills to help other students. In the library, she'd be a regular, just like at Hogwarts. She might even introduce some new study methods to the school. And as she gets to know the students better, she'd start to understand their worldviews and adapt her own behavior accordingly, while still maintaining her core values from the wizarding world.
Well, one possible plot could be Hermione using her magic skills to solve the mysteries in Forks. Maybe she senses there's something strange about the Cullens and uses her knowledge to figure out they're vampires. She could also use her intelligence to outwit the high school bullies or help her new friends with their academic problems.
Well, he might make new friends. In a different school, there could be new magical traditions and spells for him to learn. He'd also face different challenges compared to Hogwarts.
She could meet Bella Swan. They might start off as a bit of an odd couple, with Bella's more reserved nature compared to Hermione's boldness. But they could learn a lot from each other.
Hermione might also come across some magical creatures that are guarding certain vaults in Gringotts. For example, a dragon that she has to find a way to bypass without getting burned. These encounters would add more excitement and danger to her visit to the wizarding bank.
She could meet the headmistress of St Trinians. That would be an interesting encounter as Hermione tries to understand the school's rules and the headmistress tries to figure out this strange, book - smart girl. Also, she might meet the troublemakers of the school, those girls who are always getting into scrapes and might see Hermione as either a threat or someone to rope into their schemes.