She might be initially defensive. Hermione is a proud and independent character. So, when Snape finds out about her arm, she could be worried that he'll use it against her in some way, like taking away house points or using it as an excuse to give her extra work.
One problem is that it goes against the established character dynamics in the Harry Potter series. Snape is a much older character and Hermione is a student, which creates an uncomfortable power imbalance. Also, it's not in line with the general tone and themes of the original books.
There are some out there. You can try searching on fanfiction - dedicated websites like FanFiction.net or Archive of Our Own. Just keep in mind that the quality can vary greatly. Some might focus more on the emotional build - up to the kiss, while others could be part of a more complex, alternate - universe storyline.
She might decline. Hermione is a very practical and goal - oriented person. She has her studies and her friends to think about. Going on a date with Snape, who has a rather complex and not - always - friendly reputation, might seem too risky and not in line with her plans. Also, she may not have any romantic feelings for him at all.
A great Snape and Hermione completed fanfiction stands out because of its character development. The author has to really understand the complex personalities of both Snape and Hermione. For example, Snape's brooding nature and Hermione's inquisitive mind need to be accurately portrayed. Also, the plot should be engaging. It could be a unique take on their relationship, like a time - travel plot that changes their interactions. Or it could be a story that focuses on a mystery they solve together, which would be exciting to read.
I don't really support the Snape - Hermione pairing in fanfiction as it goes against the original spirit of the 'Harry Potter' series. However, you can try searching on some large fanfiction platforms like Archive of Our Own, but be aware that most of the well - written fanfictions usually stick to more canon - compliant pairings.
I recall a story titled 'Snape's Watchful Eye on Hermione'. It shows Snape noticing Hermione's potential early on. He starts leaving little hints and protective spells around her. The story also delves into Snape's complex feelings, as he sees a bit of himself in Hermione's thirst for knowledge and her outsider status among some of the Gryffindors.
One characteristic is the exploration of Snape's hidden soft side. Usually, he's portrayed as cold, but in these fics, he shows concern for Hermione. For example, he might help her with her potions work secretly.
Most of the 'Snape and Hermione make love' fanfictions are likely to be not family - friendly as it involves a very non - canonical and often uncomfortable relationship. Instead, you could look for fanfictions that center around their more acceptable interactions in the Hogwarts setting, like Hermione learning from Snape in Potions class or Snape grudgingly respecting Hermione's intelligence.
I'm not sure about specific 'Harry and Snape make out fanfiction' titles, but often in these types of stories, the authors play with the idea of breaking the animosity between them. They might rewrite the story in a way that some magical event forces them to see each other in a new light, leading to a romantic or at least a more affectionate relationship. It's an interesting concept that some fans really enjoy exploring in fanfiction.