In this fanfiction, their daughter could be a very unique character. She may grow up in a world that is still full of threats from the mythological creatures. So she would need to learn self - defense early on. Her personality could be a blend of Percy's easy - going nature and Annabeth's determination. For example, she might be the type to make friends easily but also be very focused when it comes to achieving her goals. She could also have some special powers or abilities that are a combination of her parents' gifts, like being able to communicate with sea creatures and having an almost preternatural understanding of architecture and mazes.
She could be a strong and intelligent girl, just like her parents. Maybe she has Percy's sea - green eyes and Annabeth's blonde hair. She might inherit Percy's ability to control water to some extent and Annabeth's strategic thinking.
Her adventures could start right in her own backyard, so to speak. She might discover a hidden entrance to an ancient labyrinth in her neighborhood. As she explores it, she has to use her wits and any powers she has. Later, she could be drawn into a larger adventure where she has to stop an evil force from awakening an ancient and powerful Titan. She would travel across the country, or even across different continents in the demigod world, encountering various mythical beings. Some might be friendly and offer her help, while others would try to stop her at all costs. And through all these adventures, she would grow in strength and wisdom, just like her parents did before her.
Perhaps their daughter is accused of a crime she didn't commit within the demigod community. She then has to prove her innocence while also dealing with the pressure of being the daughter of two very well - known heroes. Along the way, she uncovers a conspiracy that threatens the safety of all demigods.
Maybe there would be some initial tension between Percy and Annabeth's daughter. She could be rebellious and not want Percy interfering in her life at first. But as time goes on, they could form a strong bond. They might go on a quest together, where Percy has to save her from a dangerous foe, and that's when their relationship really starts to grow and develop into a more trusting and loving one.
One possible plot could be that in their dreams, they see their daughter growing up in a world where the threats they faced are no more. She is strong and confident, trained in the ways of the demigods. They dream of her making friends easily at Camp Half - Blood and having a special bond with the nature spirits there.
A group of rogue demigods could be the main antagonists. They might be jealous of the attention the daughter gets because of her parents. So, they plot to make her life difficult and try to drive a wedge between her and the other demigods.
One possible storyline could be that their daughter inherits both of their special abilities. For example, she might have Percy's skill with water and Annabeth's strategic mind. She could go on adventures in the same world as her parents, facing new monsters and challenges. Maybe she discovers a long - lost secret related to the gods that her parents were unaware of.
It could be an old enemy of Percy and Annabeth. Maybe a monster that they thought they had defeated long ago but has come back for revenge. This time, it might target Annabeth's daughter to get back at them.
She could be brave like Percy. He was always ready to face danger head - on, and their daughter might have the same courage. For instance, when faced with a powerful monster, she would not hesitate to fight.
One possible reason could be that she might be facing some sort of internal conflict. Maybe she has some unresolved issues from her past that resurface and make her feel like she can't be a part of Percy and their daughter's life. It could also be that she feels pressured by some external force, like a new threat in the world of the fanfiction that she believes she has to face alone and in doing so, she has to leave them behind.
She could be a completely new character created just for this fanfiction. Maybe she's a normal human girl who Percy discovers has a connection to the world of the gods in some way.