Perhaps in the fanfiction, Hermione discovers some dark secrets about the wizarding world or her own family. This new knowledge could be so shocking and difficult to process that it causes her to have a breakdown. It could be something related to the history of magic that goes against everything she thought she knew, or a revelation about her parents that throws her into emotional turmoil.
One reason could be the extreme pressure of being Hokage. He has so many responsibilities, like protecting the village from external threats and managing internal affairs. It might all become too much for him to handle, leading to a breakdown.
It might be due to cultural differences. Hermione comes from the wizarding world, and Annabeth from the demigod world. In fanfiction, these differences could be exaggerated, and Hermione might find Annabeth's 'alien' culture off - putting or difficult to understand, leading to dislike.
Sometimes in fanfiction, the author might create a plot where Hermione is under the influence of a dark magic or a curse that messes with her mind and makes her feel suicidal. This could be a way to explore the darker aspects of her character and the wizarding world.
In fanfiction, sometimes authors like to break boundaries and explore 'what - if' scenarios. For the 'Snape cheats on Hermione' idea, it could be a way to create drama and conflict. They might be interested in exploring the emotional turmoil it would cause for Hermione, or how it could change the relationships within the wizarding world they've created in their story. It could also be a way to subvert the typical hero - heroine relationships we see in the original series.
One reason could be that they recognize her intelligence and see it as an asset. They might want to form an alliance with her, and comforting her is the first step. For example, in a war - torn Hogwarts, they know Hermione's strategic mind could be useful, so they reach out to comfort her to gain her trust.
Hermione is also very confident in her knowledge. Snape is an expert in Potions, but Hermione is no slouch either. So, when Snape tries to undermine her in Potions class, she might respond with sarcasm. For example, if Snape corrects her in a way that she thinks is wrong, she could say 'Of course, Professor, your infinite wisdom must be right' in a sarcastic tone.
One reason could be a divergence from the original character traits. In the original story, Hermione and Ron have a complex relationship with love and friendship. Fanfiction that misrepresents Hermione's feelings towards Ron might go against the essence of her character. Maybe the fanfiction portrays her as hating Ron in a way that doesn't fit with her growth and development in the official series.
Well, one reason could be that she discovers some long - lost family inheritance. Maybe her family had a hidden vault full of gold and magical artifacts that she stumbles upon. It's a common trope in fanfiction to give characters unexpected inheritances.
Hermione's leadership skills might also play a part. If she takes charge in a group or a mission, and is able to guide others effectively towards a common goal. Rodolphus, seeing her lead with confidence and intelligence, would surely be impressed.
In the 'hermione attempted suicide fanfiction', it could be due to the constant danger she faces in the wizarding world. Facing dark wizards and life - threatening situations repeatedly might have led to her reaching a breaking point. Also, she may feel isolated, as she is often the smartest in the room and might struggle to truly connect with others on an equal level.