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.
Writers can also depict Loki as a character who is on a journey of self - discovery. His intersex nature is just one part of who he is, but it has a significant impact on how he views himself and his place in the world. He could start off as a more withdrawn character, but as the fanfiction progresses, he becomes more open and confident, especially with Thor by his side. The fanfic could explore how Loki's intersex identity shapes his relationships not only with Thor but also with other Asgardians.
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 many stories, disrespect is also a cause. Saying rude things to mom or not listening when she's talking. Moms spank to teach kids to respect others, especially family members. It's their way of instilling good values in a rather tough but sometimes necessary way.
Disobedience is a common one. For example, if a child is told not to do something like play with matches and still does it, the mom might spank as it's a very dangerous behavior.
One possible story could be in a strict school setting. A student witnesses another student getting spanked for misbehaving in class. Later, the same student who watched gets spanked for not paying attention in class, as the teacher believes the first incident should have been a warning for all.
Loki could also show signs of fear, though he would try to hide it. Inside, he knows the power that Thanos wields. But on the outside, he would maintain a facade of bravado. His reactions would be a mix of his natural cunning and the instinct to survive in a very dangerous situation.
He might ally with Arya Stark. Loki would see her determination and skill, and they could form an unlikely partnership. Arya could learn some new tricks from Loki's magic, and Loki could use Arya's knowledge of Westeros to his advantage.
One alternative could be character - centric stories that focus on Loki's growth and development. For example, exploring his backstory, his relationships with other characters like Thor or Odin in a non - sexual way. Another option is to create stories where Loki is on a quest, facing challenges and using his intelligence and magic to overcome them.