Perhaps Snape was demonstrating a particularly volatile potion. In the process of showing how it reacts, some of the potion droplets flew out and landed on Hermione, thus leaving her wet.
Maybe there was a potion spill. A cauldron could have tipped over, and the liquid inside splashed onto Hermione, making her wet.
She might just be practical about it. Hermione could quickly start using magic to dry herself off and then get back to her work without making a big fuss, as she is more focused on her studies most of the time.
She might accidentally spill a potion all over the place. Maybe she gets frustrated with Snape's comments and snaps, causing a minor chaos in the classroom.
Maybe she's having a bad day. Everyone has off days, and Hermione is no exception. She could have had a fight with her friends earlier, or received a bad grade on a previous assignment, and that negative emotion spills over into Potions class.
Perhaps he was extremely tired or stressed. Harry has a lot on his plate, with Voldemort constantly being a threat and all the schoolwork and Quidditch. He might not have had enough sleep or rest, and the potions class was just the tipping point where his body gave out.
One plot idea could be a student discovers a hidden potion recipe in the potions class that has the power to reveal one's true self. This causes chaos as some students are not ready to face their true selves. Another idea is that there's a competition in the potions class where the prize is a rare ingredient, and the main character has to outwit their rivals. A third idea could be a new student who is a natural at potions but is being bullied by jealous classmates, and they use their potion - making skills to stand up for themselves.
In fanfiction, it could be part of a developing relationship. If the author is exploring a romantic angle between Harry and Hermione, a touch in class could be a subtle way of showing their growing closeness. It could also be a way to show their strong friendship. For example, they might be working on a group project in class and Harry touches Hermione's hand to pass her a needed ingredient or tool, which shows their seamless cooperation and deep bond.
One reason could be Draco's arrogance. If Draco shows too much pride and disrespect in class, Snape, who values discipline, would not tolerate it. For example, if Draco mocks other students' potions attempts, Snape might punish him.
Well, one reason could be that he sees her intelligence and thirst for knowledge, which he respects. He might feel a sort of kinship as he was also a very intelligent student himself when he was younger.
The professors may desire Hermione fanfiction because it often delves deeper into the 'Harry Potter' universe. Hermione has so many relationships and storylines that can be explored further in fan - made stories. Also, fanfiction can provide unique perspectives on her character growth, which might be interesting for professors who study literature or character development.
One possible reason could be a symbol of a new beginning. Maybe she's had a major life change, like starting a new chapter in her relationship or in her studies at Hogwarts. It could also be a sign of rebellion against the traditional image others have of her. In some fanfictions, she might cut her hair to fit in with a different group or to show that she's breaking free from her old self.