The main antagonist could be an ancient evil that has infiltrated the camp. It frames Percy for a series of disasters within the camp, leading to his abandonment. While Percy is out on his own, the evil continues to grow in power within the camp, and Percy has to figure out how to stop it and clear his name at the same time.
A new demigod who has a vendetta against Percy for some past incident could be the main antagonist. This demigod could be very influential in the camp and convinces everyone that Percy is not trustworthy. After Percy is abandoned, this demigod continues to hunt him down, seeing Percy as a loose end that needs to be tied up.
It could be one of the camp leaders who turned against Percy. Maybe they are jealous of Percy's popularity among the other demigods or they believe he is a threat to their power within the camp. So, they manipulate the situation to make it seem like Percy has done something wrong and get him abandoned.
It could be a vengeful god. Maybe a god who feels that the sister's existence is an insult to their power. So they set out to stop Percy from finding her. For example, Hades might be the antagonist if he believes that the sister's return could disrupt the order in the Underworld.
The plot could involve Percy being abandoned by camp because the camp leaders fear his growing power. He wanders the world, feeling lost and angry. Percy then encounters a mysterious figure who offers him a way to get revenge on the camp. However, Percy, being a hero at heart, realizes that taking revenge won't solve anything. Instead, he decides to find evidence to clear his name and expose the real danger that the camp is ignoring while he was being pushed away.
It could be a new powerful monster that was sent after Percy because his mom was no longer there to protect him. Maybe a monster that has a grudge against Percy's family.
It could be a power - hungry Atlantean noble who wants to rule not just Atlantis but also the surface world. He sees Percy as a threat to his plans and tries to stop him at every turn.
A new and powerful demon that has emerged from the darkest corners of the underworld. This demon is bent on using Percy's connection to the overworld to break through the barriers between the two worlds and unleash chaos. It has powers that are different from what Percy has faced before, like the ability to manipulate the very essence of the underworld's environment.
A powerful Amazonian sorceress who has turned against her own kind and is now trying to use dark magic to take over the world. She could see Percy as an obstacle in her path and constantly try to defeat him.
Maybe it could be a demigod who has become obsessed with power through gaming. This demigod, let's say a child of Hades, discovers a way to use dark magic and combine it with gaming technology to try and rule over all the other demigods. He sees Percy as a major threat to his plans because Percy is so popular and has strong powers, so he constantly tries to undermine Percy at every turn.
The goddess Hera might also be a great antagonist. Since she has a history of interfering in the lives of demigods, she could be jealous or threatened by Percy's rebirth. She might try to stop him from reaching his full potential in his new life or cause trouble between him and his new allies.
A powerful demigod who has been corrupted by the idea of primordial power could be the main antagonist. They might believe that by allying with a primordial or obtaining their power, they can become greater than the gods. This demigod would then oppose Percy, who stands for the protection of the current order.
An ancient and forgotten god who has been awakened. This god could be angry at the modern demigods for ignoring the old ways and decides to send assassins after Percy as a warning to the rest. They might want to bring back the old order where gods were feared and worshiped more and see Percy as a symbol of the new, more independent demigods.