Well, first of all, she would probably become more reserved in some ways. Narcissa's influence might lead Hermione to be more cautious about revealing her thoughts and plans, similar to how Slytherins often keep their cards close to their chest. Secondly, her view of family would expand. She'd no longer just have her Muggle parents in that regard, but a whole new wizarding family with its own traditions and values. This could make her more understanding of different family dynamics in the wizarding world. And finally, her sense of self - worth might change. Instead of constantly having to prove herself as a Muggle - born in a sometimes prejudiced wizarding world, she could find a new sense of acceptance within the Malfoy family, which would shape her character in a different way.
She would probably become more guarded and secretive. In the original story, Hermione is quite open with her friends about her thoughts and feelings. However, in the Malfoy household, she'd have to hide a lot of her true self. Her character development might see her becoming a master of deception, pretending to go along with the Malfoy's views while secretly working against them. This would add a whole new layer of complexity to her personality as she tries to balance her true self with the persona she has to present to the Malfoys.
If Hermione was adopted by the Cullens, her character would likely become more attuned to the vampire world's values. She might be more secretive like the Cullens, as they hide their true nature. Her studious nature could be redirected towards understanding vampire lore. For example, instead of poring over Hogwarts textbooks, she'd be delving into books about vampire history and abilities. This new family dynamic would also make her more cautious in her interactions, knowing the potential danger her new family could face if exposed.
Well, her character would likely become more guarded. Snape is not one for open displays of affection or warmth, so Hermione might learn to hide her emotions more. However, she would also be exposed to Snape's vast knowledge of potions and the Dark Arts in a more intimate way. This could make her more of an enigma to her friends. She might start to question some of the Gryffindor values she once held dear, as Snape would surely instill in her a different set of beliefs, at least to some extent.
Well, in some fanfictions, her being adopted by the Grangers might make her more confident in her Muggle - side. She could grow up with a stronger sense of identity that combines both her magical and Muggle heritage. This might lead to her being more open - minded towards Muggles in the wizarding world, and also more assertive in showing that Muggle - borns are just as good as pure - bloods.
In fanfiction, if Hermione looks different, it can be a catalyst for her to explore different aspects of herself. If she has a new, more glamorous look, she might be drawn into the wizarding high society. This could make her develop a more sophisticated side, learning about politics and power within the wizarding world. However, she could also struggle with maintaining her true self. She might start to question her values as she gets caught up in the glitz and glamour, but ultimately use her intelligence to find a balance between her new appearance - influenced life and her old self.
In some fanfictions, Hermione's animal transformation might lead to her making new friends among the magical animals. This interaction could expose her to different forms of magic and ways of thinking that are unique to the animal kingdom. It broadens her understanding of magic and helps her character grow in ways that her regular studies at Hogwarts might not.
Being raised at Hogwarts would likely make Hermione more confident in her magical abilities from a young age. She would be constantly surrounded by magic and have more opportunities to practice and learn. For example, she might be less hesitant to try out new spells compared to if she had grown up in a Muggle household. Also, her friendships would be different. Growing up at Hogwarts means she forms deeper bonds with her Hogwarts peers earlier on. This could make her more protective of Hogwarts and its traditions as she feels a stronger sense of belonging.
Well, if Hermione was adopted by Remus, her character might become more in tune with the werewolf side of things. She could be more empathetic towards outcasts, like Remus was. Her studious nature might also take on a different angle, perhaps delving into the study of lycanthropy more deeply. And she might grow to be more cautious and aware of the prejudices in the wizarding world, having seen Remus face them.
Her character might become more in tune with English magical culture. She could pick up new accents, phrases, and ways of thinking related to the English wizarding world. This would add a new layer to her personality.
As Hermione grows more confident in her abilities, she may be more likely to stand up to Snape. In earlier years, she might have been intimidated, but as she matures in fanfiction, she'll directly oppose him. For instance, if she discovers new magical theories, she could argue with Snape about their inclusion in the curriculum.