One possibility is that Hermione might initially be shocked and angry. Snape was not always kind to her during school, but now she realizes his true role in the war. She could confront him about his past behavior, yet also express gratitude for his sacrifices. For example, she might say something like 'I can't believe all you did, even after how you treated us at times.'
One possible scenario could be that Snape, now redeemed in the eyes of many after the truth about his actions during the war is known, might offer a simple apology to Hermione for any past harshness. He could be in a state of self - discovery and seeking to make amends with those he wronged in his guise as a Death Eater supporter. Hermione, being the empathetic person she is, might accept it graciously and they could have a brief conversation about the new world order post - war.
One possible scenario could be that Hermione confronts Snape about his unfair treatment of Gryffindor students. Maybe she has evidence of him being overly harsh and she stands up to him in a classroom setting.
One possible scenario could be that Ron and Hermione focus on rebuilding the wizarding world. They might use their skills and knowledge to help repair Hogwarts. Hermione could be involved in reforming the Ministry of Magic's educational policies, while Ron might assist in ensuring the safety of magical creatures.
Well, one possible scenario could be that in the fanfiction world, there are dark wizards or forces targeting Hermione for her knowledge or power. Snape, with his skills and knowledge of the dark arts, could use his magic to shield her from attacks. For example, he could set up protective spells around her when she is studying in the library or traveling around Hogwarts.
They might start a family. After the chaos of the war, they would likely want a peaceful and loving home environment to raise children in.
One possible scenario could be that they are on a secret mission. Maybe they are looking for some hidden knowledge or a powerful magical artifact that Snape had stashed away in his house. Another scenario might be that Harry is in hiding at Snape's house for some reason, and Hermione comes to check on him and bring him supplies or important news. It could also be that they are reminiscing about Snape after his death and going through his things to understand him better.
In some fanfictions, Snape might be seen as a mentor figure to Hermione after the war. Since he sacrificed so much and she respects knowledge, he could guide her further in advanced potions or dark arts defense knowledge.
Another possibility is that she focuses on protecting her family, especially Draco. She could be constantly worried about the after - effects of the war on him, like potential revenge from the side that won the war, and spends her time ensuring his safety and future.
In a fanfiction, Snape might be hard on Hermione during detention. He could assign her extremely difficult tasks that are almost impossible to complete within the given time, just to test her limits. For example, making her organize his entire store of potion ingredients in a very specific and difficult - to - achieve order.
One possible scenario could be a moment of intense conversation where Hermione is sitting in Snape's lap and they are having a deep discussion about magic theory that only they understand. It might be a turning point in their relationship in the fanfiction world.