The novelty of their pairing. In the original series, they were on opposite sides. So seeing them in a fanfiction as prefects, sharing some sort of authority, is exciting. It's like a new adventure that the readers didn't expect from the original story.
It can be a very compelling read. The idea of Hermione and Draco as prefects in a fanfiction setting allows for a unique exploration of their characters. It can show how they might interact in a more official capacity within Hogwarts. Their different personalities, Hermione's studiousness and Draco's more haughty nature, can create interesting dynamics when they are both in positions of authority.
It could be a power - hungry student who wants to undermine Hermione and Favo Prefect. This student might be jealous of their status as prefects and the respect they get from teachers and students alike. So, they try to create problems for them, like spreading false rumors or sabotaging their projects.
One reason could be to explore an alternate path for Hermione's character. By having her refuse the prefect position, it shows a different side of her independence and her ability to make choices that go against the norm in the Hogwarts hierarchy.
I'm not sure specifically which 'Hermione refuses prefect' fanfictions are out there. You could try searching on fanfiction platforms like FanFiction.net or Archive of Our Own. Just type in the relevant keywords in their search bars and see what comes up.
A third plot idea might be that there is a competition between different prefects in the school, and Hermione and Favo Prefect are partners. They have to use their combined skills in academics, magic, and leadership to win. Along the way, they have to deal with rivalries, but also form a strong bond that could potentially turn into a deeper relationship.
One popular theme could be the idea of redemption for Draco. In many fanfictions, he is shown to overcome his family's dark past and prejudice. Another theme might be the power of friendship or love that develops between Hermione and Draco, despite their initial differences. It could also explore how they navigate the complex wizarding world together, facing challenges from their respective houses and the general wizarding society.
In a fanfiction with this theme, it could be set post - war. Draco and Hermione find themselves in a situation where they are on the run from some dark wizards who are after them for different reasons. During their escape, Hermione gets wet and cold. Draco, having a change of heart after the war, gives her his warm cloak. This act of kindness begins to break down the barriers between them, and they start to have deeper conversations, realizing they have more in common than they thought.
Perhaps there's a fanfiction where a powerful and dark wizard from outside the school is targeting Muggle - borns. Hermione, being a Muggle - born, is understandably afraid. Draco, who has always had a complex relationship with Hermione, is conflicted. He doesn't want to see her hurt because, deep down, he has feelings for her. He ends up using his Slytherin cunning to outwit the dark wizard and keep Hermione safe.
One reason could be the traditional rivalry from the original series. In the books, they are from different houses, Slytherin and Gryffindor, which have a long - standing feud. Fanfiction writers might play on this by having Draco be mean as a continuation of that in - built tension. Another aspect could be his family upbringing. The Malfoy family has certain pure - blood supremacist views, and Hermione being a Muggle - born might be a target for Draco's meanness in fanfictions.