Yes, there are likely some out there. You can start by searching on popular fanfiction websites like Fanfiction.net or Archive of Our Own. Just type in 'Artemis kisses Percy' in the search bar and see what comes up. However, the quality can vary greatly from one story to another.
A plot could be that there's some sort of dark magic that is affecting the balance between the gods and the demigods. Artemis and Percy are brought together to combat it. Along the way, Percy shows a side of himself that Artemis is drawn to. His courage and selflessness intrigue her. And in a moment of vulnerability, Artemis kisses Percy. This kiss then becomes a catalyst for a deeper exploration of their relationship and the greater threat at hand.
Yes, there are quite a few out there. Some explore their relationship in an alternate universe where the two characters have a deeper bond. You can often find them on fanfiction websites like Archive of Our Own. Just search for 'Percy kisses Jason' and you'll get a list of relevant stories.
Percy could also react with a sense of determination. Instead of being defeated by the injury, he sees it as a challenge. He starts to figure out what made Artemis hurt him in the first place. If it was a misunderstanding, he tries to clear it up. If it was something more malicious, he starts to plot his revenge. He uses his own wits and the powers he has to either heal himself or find a way to make Artemis see the error of her ways. He might also seek the help of his friends, like Annabeth or Grover, to come up with a plan to deal with the situation.
The Hunters of Artemis are very likely to show up. They are Artemis's loyal followers and would surely be involved in the search for their mistress. Annabeth could also be there. She's Percy's friend and has great wisdom, which could be useful in devising a plan to save Artemis. Grover might be another character. His ability to sense things could help in tracking Artemis or finding clues about her whereabouts.
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.
Well, Artemis is a complex character herself. Perhaps she sees something of herself in Percy, like his determination or his sense of loyalty. Fanfiction often takes these qualities and twists them in new and interesting ways. She might be drawn to how Percy is portrayed in different fan - written stories, whether it's his heroic deeds or his more vulnerable moments. Reading Percy fanfiction could be a form of escapism for her, a way to explore a different kind of heroism outside of her own experiences.
One reason could be the popularity of Percy as a character. Fans might be more inclined to write about him in a dominant role because they like him better. So, they create fanfictions where he dominates Artemis.