In the fanfiction, when Artemis finds Percy in the woods, she might first be on guard as she is a cautious goddess. She could see Percy as a potential threat or an interesting anomaly. Maybe she decides to test him in some way, like challenging his combat skills or his wits.
The first encounter might be one of confusion. Percy could be startled to see Artemis suddenly appear in the woods. Artemis, on the other hand, may be trying to figure out why Percy is there. She might question him immediately, and Percy would have to explain his presence, perhaps stuttering a bit as he is in the presence of a major goddess.
Maybe Artemis is on a hunt when she stumbles upon Percy. She might be initially cautious, as she's a goddess and Percy is a demigod. She could question him about his presence in Texas.
She would probably be furious. Artemis has a strong sense of justice and protecting the vulnerable. So, she would likely immediately start to plan how to deal with those responsible for Percy's abuse.
It could be some rogue Titans who escaped from Tartarus. They want to cause chaos in Oklahoma and use Percy and Artemis to their advantage. Maybe they plan to capture them and use their powers to break free the other Titans.
In some fanfictions, Artemis might react with intense anger. She is a protector, especially of the innocent. So she could immediately seek justice for Percy, using her power and influence among the gods to find the perpetrator.
Artemis would probably be furious. As a goddess associated with protection, especially of women and girls, she would see this as a great injustice. She might immediately start planning revenge on the one who did this to Percy.
In such a fanfiction scenario, perhaps Artemis could initially be suspicious of Percy's presence in Hawaii. She might think he's there for some hidden agenda related to the demigod world. Maybe she'd keep an eye on him secretly at first.
They might go on a quest to find a lost artifact. Maybe it's a magical item that has the power to control the weather in Oklahoma. They could face various mythical creatures along the way, like a giant snake that guards the artifact.
Well, one possibility is that Artemis would become extremely protective of Percy. She might use her powers to shield him from any further harm. She could also seek revenge on those who abused Percy. In the world of fanfiction, this could lead to some really interesting power plays and conflicts.