She could name it after a Greek god or goddess. Maybe Athena, after her mother. It would show her connection to her heritage and also her love for her pet as something noble and powerful.
Since Annabeth is a smart character, she might name her pet based on its characteristics. If it's a fast - running pet, she could name it 'Dash'. If it has shiny fur or feathers, she might call it 'Glitter'. Or perhaps she gives it a name that has a hidden meaning in the context of the fanfiction, like a code name for a secret mission that the pet is involved in.
I'm not sure what kind of pet Annabeth has in that fanfiction. It could be a common pet like a cat or a dog, but given it's a fanfiction, it might be something more unique. For example, it could be a mini - dragon that she found in a hidden cave. It could be small enough to fit in her pocket but fierce when needed.
They might name him after a Greek hero, like Theseus. It has a strong and heroic sound to it, fitting for a child of Percy and Annabeth who are both very heroic themselves.
Maybe an antagonist who wants to disrupt the group dynamic. If Annabeth is a key part of a group, punching her could cause chaos and confusion among her friends. It could also be someone who has been influenced by dark magic or some sort of mind - control in the fanfiction. This would make them act against their normal nature and punch Annabeth without really having a personal grudge.
She might be heartbroken at first. She could try to jog Percy's memory by showing him things that were important to them.
Annabeth could also be angry, not at Percy but at the situation or the forces that led to his death. She might vow revenge and start on a journey to find out who or what was responsible for Percy's sacrifice and make them pay. This could lead her into a whole new set of adventures and challenges as she tries to come to terms with her loss.
She'd probably be shocked at first. But then her face would light up with joy. After all, she and Percy have been through so much together.
In a large number of Percy and Annabeth fanfictions, they are indeed presented as soulmates. Their shared adventures, the way they understand each other without many words, and the deep loyalty they have for one another all contribute to this perception. Fanfiction authors often build on their existing relationship from the original works and enhance it to the level of soulmates. They might show it through things like Percy being able to sense Annabeth's distress from afar, or Annabeth always knowing exactly what Percy needs in difficult situations. This soulmate - like relationship makes for very engaging and heart - warming stories in the fanfiction realm.
It could be for the greater good as she perceives it. Annabeth might think that by betraying Percy, she can save more people or prevent a greater disaster. However, her perception might be wrong, and she realizes it too late after the betrayal has already occurred.
Annabeth would likely be furious at first. She has been through so much with Percy, and for him to leave her for Calypso would seem like a betrayal. But then, she might also start to reflect on their relationship and what went wrong. She could become determined to win Percy back or to move on and prove that she doesn't need him.
Percy might be one. They have a close relationship, and in some fanfictions, he could be more forward with his feelings through flirting.