On the other hand, it could also lead to a strange kind of understanding. Maybe Harry realizes that Snape is under a great deal of pressure and that the punch was a momentary lapse. This could make Harry more empathetic towards Snape, although he might still be angry about being punched.
It could severely strain their relationship at first. Snape might become even more bitter towards Harry, seeing this as just another sign of his lack of respect. Harry, on the other hand, might feel a bit of guilt but also a sense of righteousness if he thought Snape deserved it. However, over time, this incident could also be a turning point. It might force them to communicate more directly, which could lead to a more complex and nuanced relationship, whether it becomes more positive or remains hostile but with a new understanding.
You can try Archive of Our Own (AO3). It has a vast collection of fanfictions, and you can search for 'Lily punches Snape' in the search bar. There's a high chance you'll find some great works there.
There's also 'The Confrontation' in which the story might build up tension between Lily and Snape over time. Maybe Snape says something really offensive, and Lily, being the strong - willed character she is, punches him as a form of standing up for herself and her values.
There could be a 'Harry punches Ron' fanfic to explore different character interpretations. Maybe the writer wants to show a more impulsive and hot - headed Harry, or a Ron who has done something really wrong that would push Harry to such an extreme. It can also be a way to break away from the typical, harmonious view of their relationship and see how they would deal with such a violent rupture in their friendship.
Another way Snape could comfort Harry is by standing up for him in certain situations. Maybe when other teachers or students are being unfair to Harry, Snape steps in and defends him. This act of protection can be a great source of comfort for Harry, as it shows that someone is on his side even if they have had a rocky relationship in the past.
In some fanfictions, Snape might use his advanced knowledge of potions to brew a special healing elixir for Harry. He could also use his magic skills, like a complex spell specifically designed to mend Harry's wounds, whether they are physical or emotional.
Sure, the Harry Potter fandom is huge and full of creativity. Writers might come up with a story where Harry is Snape's master for various reasons. It could be due to a prophecy or a magical bond that no one expected. In this kind of fanfiction, we might see Snape having to follow Harry's orders, which would be a complete reversal of their normal relationship in the original series. This could lead to some very intense and dramatic storylines.
One possibility could be that in this fanfiction, Snape takes Harry for some sort of training or protection. Maybe Snape realizes that Harry is in greater danger than Dumbledore anticipates and decides to take matters into his own hands. He might take Harry to a secret location to teach him advanced magic or to keep him away from the prying eyes of Voldemort's followers.
In fanfiction, Snape teaching Harry Occlumency is often a very intense and complex relationship. Snape's own mixed feelings towards Harry add layers of drama. His strict teaching methods sometimes seem cruel but are also necessary to force Harry to master Occlumency. Harry, on the other hand, is often resistant at first, not fully understanding the importance and also being put off by Snape's attitude.