One interesting plot could be Percy's new relationship with Hestia. Since Hestia is the goddess of the hearth, Percy might learn a different kind of warmth and family from her. Maybe she teaches him some ancient secrets related to the hearth that give him new powers or ways to defend himself. Also, how Percy interacts with other gods and demigods in this new situation would be exciting to explore. For example, some might be jealous of his special relationship with Hestia while others might try to use it for their own gains.
Perhaps Percy discovers secrets about his past through Hestia. Since Hestia has been around for a very long time, she might know things about Percy's family that no one else does. This could lead to Percy going on a quest to find out more about his heritage. Also, he could be protected by Hestia's gentle but powerful influence, which makes other demigods view him in a new light.
One common theme is family. Since Percy is adopted by Hestia, the fanfictions often explore what it means to have a new family, especially in the context of the demigod world. Another theme is power. As Hestia has her own unique powers, Percy may inherit or develop related powers, which is a big part of many of these stories.
Percy would likely become more nurturing. Since Hestia is associated with the hearth and home, Percy might pick up her values of warmth and care. He could be more empathetic towards others, especially those who are homesick or lost. For example, he might be more patient with new demigods arriving at camp.
His relationship with Annabeth would likely be different. With Hestia's influence, Percy might become more domesticated. Annabeth could be both intrigued and a bit confused by this new side of Percy. She might initially be skeptical of Hestia's adoption but later see the positive changes in Percy.
One popular 'Percy Jackson adopted son of Hestia fanfiction' is 'The Hestia - Percy Bond' on Fanfiction.net. It has an interesting take on Percy's relationship with Hestia and how it changes his journey in the demigod world.
There's also 'Hestia's Protege'. In this fanfic, Percy becomes an unofficial protege of Hestia. It has some really interesting plot twists. For example, Percy learns some ancient secrets from Hestia that help him in his battles against the new threats emerging in the world of the gods.
One way their romance could be portrayed in fanfiction is through Percy seeking solace in Hestia's hearth. Hestia, being the goddess of the hearth, represents warmth and home. Percy, having gone through so many harrowing adventures, might find a sense of peace with her. They could share quiet moments by the fire, with Hestia listening to Percy's tales of his quests. Their relationship could be a slow - burn one, starting from Percy's initial respect for her domain and growing into a deep, unspoken affection as he realizes how much her presence means to him in a chaotic world of gods and monsters.
In Percy Jackson fanfiction, a relationship between Percy and Hestia could be really interesting. Hestia is the goddess of the hearth, representing home and warmth. A love story might involve Percy finding a new kind of peace and comfort in Hestia's presence. Maybe after all his adventures, he discovers a different kind of love with her, one that's more about stability and a sense of belonging.
Perhaps a story where Percy is chosen by the Fates to mediate between Hestia and Artemis. There has been some sort of misunderstanding between the two goddesses. Percy, with his charm and unique perspective, tries to get them to see eye to eye. He arranges meetings in different places - sometimes in Hestia's warm and cozy domain, and other times in Artemis's wild and untamed forests. Through Percy's efforts, they not only resolve their differences but also realize that they can work together for the greater good.