I'm not very familiar with this specific fanfic. However, generally, a fanfic about Loki and Thor might explore their complex relationship in the context of the Marvel universe. If Loki is intersex in this fanfic, it could add an interesting layer to the character's identity and how they interact with Thor.
One common theme could be redemption. After experiencing abuse, Loki might be on a journey to redeem himself or find a way to heal. Another theme could be power dynamics. The abuse might be related to power imbalances between Loki and Thor, which can be explored in different ways. And also, the theme of forgiveness could play a role, either Loki seeking forgiveness from Thor or vice versa.
His character could also develop in terms of his powers. Maybe the abandonment was related to his latent magical abilities. He could start exploring and mastering his powers more in the fanfic. Thor's presence could either be a hindrance or a help. If it's a help, Thor could encourage Loki to use his powers for good, which would be a big step in Loki's character development.
In a fanfiction where Loki doesn't leave Jotunheim, it could lead to a very different dynamic between him and Thor. Maybe Loki would start to fully embrace his Jotun heritage. He could form alliances with the Frost Giants that would change the power balance in the Nine Realms. Thor, on the other hand, might be faced with a difficult choice of whether to side with Loki or Asgard. This could also mean that Loki would not go through some of the traumas that led to his more villainous actions in the original story. He might find a sense of belonging on Jotunheim and work towards a new future for the realm.
In Loki fanfiction, the passage of time can have various effects on Loki. It might change his perspective. For example, as time passes, he could become more introspective, reflecting on his past actions and his place in the universe. He may also develop new relationships or change existing ones over time.
Loki's real story is full of mischief and chaos. He is known for his shape - shifting abilities. He can transform into different animals or forms. This helps him in his devious plans. He was born to Laufey and Farbauti. His nature is both cunning and unpredictable. Sometimes he aids the gods, like when he helped Thor get his hammer back. But other times he causes great trouble, like when he was involved in the death of Baldr, the beloved god of light.