Another plot could be that Amphitrite tasks Percy with protecting a special part of the ocean that is home to some endangered sea creatures. Percy then has to use his powers and wits to fend off various threats, like illegal fishermen or sea - polluting entities. This would show a more professional relationship between them.
Perhaps a story where Amphitrite is in some kind of trouble, not related to love or romance, like being wrongly accused of something by another sea deity. Percy, being the hero he is, steps in to help clear her name. He would have to investigate the false accusations and find the real culprit, which would make for an exciting and non - romantic plot.
One idea could be that Percy meets Amphitrite while on a quest in the ocean. She tests him to see if he's worthy of her son, Poseidon. Another could be that Amphitrite mistakes Percy for a threat at first but then realizes he has a pure heart. Maybe Percy could be seeking her help to save the ocean from a new and dangerous threat.
They could go on a journey to find a lost demigod. Percy uses his navigation skills in water and Piper uses her ability to communicate with people to track down the missing person. Along the way, they face various challenges and form a deeper friendship.
A plot for 'Percy and Amphitrite bonding fanfiction' could be that Amphitrite notices Percy's unique relationship with the sea. She decides to take him under her wing to teach him the proper ways of the sea god's court. Percy is initially intimidated but soon realizes that Amphitrite is not as strict as he thought. They bond during lessons on sea - based powers and how to control the tides. As their relationship grows, Percy becomes more respected in the underwater world, and Amphitrite gains a new perspective on the half - bloods through Percy.
One interesting plot could be Percy's adventures in the underwater realm as the son of Amphitrite. He might discover new sea creatures and magical underwater places. Another could be his interactions with other demigods from a different perspective, since his mother is Amphitrite.
One possible plot could be Percy discovering his true parentage as the son of Amphitrite. He might struggle with his identity, as he has always known Poseidon as his father. This could lead to a journey of self - discovery where he has to learn about Amphitrite's powers and how they are now a part of him.
In such a fanfiction, Percy could have a very different personality. Since Amphitrite is a goddess, she might raise Percy with a more formal and disciplined upbringing compared to his normal life. He could be more in tune with the politics and hierarchies of the underwater world, and perhaps have a more regal bearing. He might also have a special relationship with sea creatures that are more closely associated with Amphitrite, like certain types of sea nymphs or powerful sea monsters.
One idea could be that Percy is framed for stealing a powerful magical artifact. His friends initially doubt him, but as he tries to prove his innocence, he uncovers a conspiracy within the magical community. For example, a secret group wants to use the situation to gain more power and is setting him up as a scapegoat.
One idea could be Percy getting involved in the Kurukshetra war. He might use his water - controlling abilities to change the course of battles near rivers or lakes. For example, he could create huge tidal waves to disrupt enemy formations.
One idea could be a time - travel plot where Percy goes back in time and meets a younger, different Medusa before she was turned into a monster. Another could be a story where Medusa somehow gets a chance at redemption and Percy has to decide whether to trust her or not. Maybe a plot where they have to team up to defeat a greater evil that threatens both of them.
One plot idea could be Percy having to go on a quest specifically guided by Poseidon's hidden messages in the sea currents. He has to decipher these messages to find a lost artifact that can save the underwater kingdom from a new, mysterious threat.