If she were adopted by Madam Pomfrey, the school nurse, Hermione would learn a great deal about magical healing. She could assist Madam Pomfrey in the hospital wing, tending to the injured students. This would not only expand her knowledge of healing magic but also her compassion and bedside manner. It might also lead to her creating her own potions for healing purposes in the future, combining her knowledge of potions from Snape's class with the practical healing she learns from Pomfrey.
In this type of fanfiction, if Hermione is adopted by the Hogwarts staff, she could gain a different level of access to the school's resources. For example, if she was adopted by Flitwick, the Charms professor, she might have unlimited access to the Charms classroom to practice and experiment. This would make her even more proficient in Charms than she already is in the original story. And she could develop new spells or improve existing ones.
One possibility could be that in the fanfiction, Hermione is adopted by Professor McGonagall. McGonagall, being strict yet kind - hearted, would see Hermione's potential and take her under her wing. She could offer Hermione a more stable and nurturing environment within Hogwarts, away from any potential problems in her regular life. This might also lead to Hermione having an even deeper understanding of Transfiguration as she would get more one - on - one time with McGonagall.
In fanfiction, during a Hogwarts staff meeting, there could be discussions about new security measures. For example, after a series of strange incidents in the castle, the staff might debate on strengthening the protective spells around the school grounds. This could involve the Charms and Defense Against the Dark Arts teachers presenting their ideas on how to make the spells more effective.
She could inherit some of Sirius's traits. For example, his rebellious streak might make Hermione more willing to break the rules when it's necessary to achieve a greater good.
In the fanfiction, there could be a mystery at Hogwarts that brings them back together. For example, a dark magic artifact that was hidden long ago resurfaces. Draco, with his Slytherin knowledge of the castle's secrets, and Hermione, with her vast research skills, team up to solve the mystery. Along the way, they discover new things about each other and themselves, and perhaps even develop some romantic feelings, though it would be a very unexpected and complex relationship given their past.
Well, one thing that could happen is that Hermione would be exposed to a whole new family dynamic. Sirius has his own wild past and rebellious nature. He might encourage Hermione to be more daring in her magic, perhaps showing her some spells that are a bit on the edgy side but still within the bounds of good magic. Also, she could learn a great deal about the Marauders from him directly, which would give her a new perspective on the history of Hogwarts.
She might have more time to explore the library on her own. Without the distraction of other students at first, she could discover some really rare and powerful magic books. This could give her a head start in her studies and she might even come across some ancient spells that could be useful later in her adventures at Hogwarts.
They might become fast friends. In some fanfictions, they could discover their shared love for magic books even before Hogwarts. This early encounter could lead to them sharing secrets about their strange magical experiences prior to school, like Hermione telling Harry about her accidental magic incidents and Harry sharing his strange encounters with the Dursleys. This would strengthen their bond and perhaps make their Hogwarts years even more intertwined.
Hermione could also get some extra study time in the library. With no other students around, she would have access to all the books she wants without any distractions. Maybe she would find some really rare and powerful spells or magical knowledge that would help her throughout her time at Hogwarts.
In this fanfiction, perhaps Hermione might be even more excited than in the original story. She could start preparing for Hogwarts immediately, reading every book she can find about the school.
In fanfiction, Hermione's parents might be amazed by the magic all around. They could be shown the Great Hall and be astounded by the floating candles. Maybe they get to meet some of Hermione's friends like Harry and Ron, and have a friendly chat with Dumbledore who would explain the magical world to them.