In this fanfiction, she could also have special powers related to Artemis. Such as enhanced archery skills, the ability to communicate with animals, and a strong connection to the moon. Her adventures might involve using these powers to protect the camp or to go on quests that are related to the moon goddess's domain.
Obviously, Percy would be a main character, now as a daughter of Artemis. Artemis herself would also be a very important character, as Percy's new 'parent' in a sense. Annabeth could still be a main character too, as her relationship with Percy would likely change and be explored in the fanfiction.
There could also be a group of rogue demigods who oppose the daughter of Artemis. They might be jealous of her powers or her connection to Artemis. They could try to sabotage her and Percy's quests and cause trouble for them at every turn.
One interesting fanfic could be 'The New Huntress'. In it, the female Percy as a child of Artemis has to face unique challenges in the world of the Hunters. She struggles with the strict code of the Hunt while also trying to find her place among her new sisters. Another might be 'Percy, Daughter of Artemis', which focuses on her relationships with the other demigods and how her being a child of Artemis changes the dynamic of the group.
At first, their relationship might be rocky. Percy is used to his own way of doing things and Artemis' daughter is bound by her mother's values. But as they face challenges together, like fighting monsters or solving mysteries, they start to respect each other. Eventually, they could become good friends who trust and rely on one another.
One great 'female Percy Jackson and Artemis fanfiction' is 'The Female Demigod's Adventure'. It shows a unique take on how a female Percy could interact with Artemis and her hunters. Another one is 'Percy Jackson: Female Version and the Hunt'. It delves into the character development of a female Percy within the context of Artemis's world.
One possible plotline could be Percy struggling with the new identity within the context of Artemis' Hunters. For example, she might have to deal with the strict code of the Hunters while still having her own personality traits from being Percy. Another could be her relationships with other characters like Annabeth, who might have a different dynamic now that Percy is part of Artemis' group.
She might be on a quest to retrieve a lost artifact of Artemis. This could involve traveling to different mythological locations, facing monsters along the way. Her skills as a daughter of Artemis, like her archery and tracking abilities, would be crucial in this journey.
One idea could be a quest where Percy and Artemis' daughter have to team up to retrieve a powerful, lost artifact. Maybe it was stolen by a group of rogue demigods. Another could be a story about them facing a new, unknown monster that is threatening the safety of Camp Half - Blood. And they have to figure out its weaknesses together.
It's not possible in the traditional sense. Artemis is firmly committed to her status as a virgin goddess. But fanfiction often ignores such constraints. Maybe in a very creative fanfic, some sort of magical or divine intervention could make it seem possible, but it would be a huge departure from the source material. So while the idea is interesting for fanfic, it doesn't fit the normal Percy Jackson world.
Annabeth is quite popular. Since she has a relationship with Percy in the original series, in fanfiction related to Percy and Artemis, she can be a source of conflict or support. For example, she might be jealous of the time Percy spends with Artemis. Another popular character is Thalia. Her connection to Artemis as a member of the Hunters makes her an important figure. She can add more depth to the stories, especially when it comes to the dynamics between the Hunters and Percy. And then there's Grover. His loyalty to Percy and his unique abilities as a satyr can bring a different flavor to the fanfiction. He might be the one who tries to mediate between Percy and those who are skeptical of his association with Artemis.