A common plotline might involve Hermione's unique magic abilities being enhanced or influenced by Snape. Since she is 'gifted' to him, he could take it upon himself to train her in more advanced magic. This could include teaching her some of his own self - created spells or guiding her in the study of dark magic defense in a way that the other professors haven't. Their relationship might become a mentor - mentee one at first, but then develop into something more complex as they grow closer through their shared magical experiences.
A common plotline is an alternate universe where Snape is not as bitter and Hermione befriends him more easily. They could be involved in a battle against a new dark force, and their combined intelligence and magic powers are crucial for victory. Also, there could be a plot where Hermione accidentally enters Snape's mind through some experimental magic and discovers his deepest secrets, which then changes their relationship.
Hermione might become more guarded at first. She is used to being independent and suddenly being 'gifted' to Snape is a big change. But over time, she could learn to be more patient and understanding. Snape, on the other hand, might soften a bit. His usual cold exterior could crack as he gets to know Hermione better.
Some fanfictions explore the idea of Hermione being sorted into Slytherin instead of Gryffindor. This changes their relationship as they are in the same house. It can lead to them becoming friends or rivals in a different way than in the original series, and often there are complex relationships that develop between them over time.
Often, there could be a plotline where Snape helps Hermione with some sort of magical research, leading to a deeper understanding between them. Another common one might be Hermione getting into trouble and Snape being the unexpected savior.
One interesting plotline could be that Hermione accidentally stumbles upon Snape in a hidden part of the Hogwarts library while researching a very rare and dangerous magic. Snape initially suspects her of snooping for the wrong reasons but then realizes she's onto something important and they end up working together secretly. This would be a great opportunity to explore their complex relationship further, as Hermione sees a different side of Snape and Snape starts to respect Hermione's intelligence more.
One interesting plotline could be Hermione's struggle to adjust to living with Snape. She's used to the warm and inclusive environment of Gryffindor, and Snape's dark and brooding personality makes it a big change for her. Another could be Snape seeing Hermione's potential not just as a student but as a daughter figure, and he starts to teach her advanced magic privately, which in turn helps Hermione to solve some of the school's mysteries.
A really interesting plotline is when Snape and Hermione are brought together by a time - travel incident. In this scenario, they have to work together to fix the disruption in time, and in the process, they gain a new respect for each other. Also, there are plotlines where Hermione discovers Snape's hidden talents outside of teaching, like his skills in ancient magic or his connection to some long - lost magical artifacts, which leads to an interesting adventure between them.
One possible plotline could be that Hermione stands up to Snape for constantly being unfair to Gryffindor students. Maybe she discovers some misinformation he has spread about her friends and confronts him publicly in the Great Hall, causing a stir among the students and teachers alike.
Another plotline might involve Snape discovering Hermione's use of the Time - Turner and initially being suspicious of her motives. But as they interact more in the altered timeline, they end up forming an unlikely alliance. They could work together to uncover a long - buried secret about Hogwarts that was lost in time.
Another plotline might involve Snape surviving the war, but in a very weakened state. Hermione, being the kind - hearted and inquisitive witch she is, takes it upon herself to nurse him back to health. During this process, they start to understand each other better. Snape begins to see Hermione not just as a know - it - all Gryffindor, but as a truly brilliant witch with a deep sense of justice. Hermione, on the other hand, realizes that Snape's actions during the war were far more complex than she initially thought.