Artemis might first try to comfort Percy. She would use her calm and powerful presence to soothe him. After that, she would start gathering information about the abuse. She would want to know every detail, like who did it, how long it had been going on, etc., so she could take appropriate action.
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.
Her reaction could also involve bringing in her hunters. They are a group of loyal followers who share her values. She could task them with protecting Percy and helping in the investigation. This would not only show her commitment to Percy's safety but also her determination to make those who abused him pay for their actions.
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.
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.
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.
She could also be angry. Given her power and status, she might feel slighted by Percy. She may take some form of revenge, not in a malicious way but perhaps by making Percy's life a bit more difficult during his quests. For example, she could send her hunters to interfere or withhold some information that could be useful to him.
Poseidon might be extremely angry. He could immediately seek revenge on the abuser. After all, Percy is his son and he has the power to protect him.
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.
Initially, Percy is likely to be heartbroken. He thought he had a certain relationship with Artemis, whether it was friendship or respect. So when she betrays him for Orion, he may go into a state of self - doubt. He could wonder what he did wrong and start to isolate himself. But as time passes, he may gather his strength and decide to face Artemis and Orion head - on, to either regain Artemis's trust or show her the error of her ways.
He might be confused at first. Percy has always been a bit of an outsider among the gods, but he may not expect Artemis to hate him. So he would try to figure out what he had done wrong.
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.
He probably tries to stay calm at first. Percy has been in tough situations before, so he would assess the situation.