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.
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.
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.
There could be a secret passageway in the school that leads to an ancient mythological place. Percy and Annabeth discover it by accident. Percy is excited to explore but Annabeth warns him to be cautious. They enter together, facing various traps and puzzles inside. Along the way, they might meet some minor gods or spirits who are either helpful or try to hinder their progress. This adventure would test their skills and teamwork, just like their quests in the original stories.
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.
In the fanfiction, they could also be on a quest to retrieve a powerful ancient Greek artifact. This artifact could be something like the Helm of Darkness that has been lost for centuries. Along the way, they would face many challenges. They would have to interact with the gods and goddesses of Ancient Greece, who might not all be friendly. Percy and Annabeth would rely on their friendship and unique skills to overcome all the obstacles in their path.
They might face new and strange monsters. For example, they could encounter a sea - serpent that has the power to control the weather around the Argo 2. Percy would use his water - controlling abilities to try and fend it off while Annabeth comes up with a strategic plan to defeat it.
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.