One possibility in this fanfiction is that the wings change Percy in some way. They might give him a new perspective, literally and figuratively. As he soars through the skies, he could see things he's never noticed before on the ground. This could lead to him discovering new secrets about the demigod world or even his own powers. He might also face new challenges, like dealing with air - based monsters or learning to fly in different weather conditions.
Perhaps it's a gift from his father, Poseidon. Since Poseidon has control over the sea and all things related to water, he might have some connection to a power that gives Percy wings, like as a way to help Percy reach new heights both literally and metaphorically.
He might become an even more powerful figure. The trident could enhance his abilities to control water and perhaps give him new powers related to the sea. He could use it to defend his friends and fight against stronger enemies.
In the 'Percy Jackson Gets a Second Chance' fanfiction, he could form stronger alliances. Maybe he'd reach out to some characters he didn't fully trust before. He could also use this second chance to get closer to his family, like his mom, and protect her better from the threats of the mythological world. He might even be able to prevent some of the major disasters that happened in the original story.
In such a fanfic, Percy might receive Triton as a sort of gift or ally. Maybe Triton would help Percy in his underwater adventures, like guiding him through the darkest parts of the ocean where no normal demigod could go. They could also team up to fight against some powerful sea monsters that are threatening the underwater world or the surface world connected to it.
Well, Percy could get Triton as a companion. They might travel the seas together, with Triton showing Percy all the hidden places in the ocean. For example, they could visit an underwater city that's been forgotten by most of the world. Triton would know all the secret passages and the history of the place, which would be really interesting for Percy.
He might gain extraordinary powers. For example, he could get enhanced strength from Ares that allows him to defeat powerful monsters with ease. Or he might receive wisdom from Athena that helps him solve complex problems and outwit his enemies.
Well, perhaps in this fanfiction, Percy gets wings through some magical event. Maybe he makes a deal with a powerful magical being who gives him wings as a reward or a means to achieve a greater purpose. It could also be that he inherits the wings due to some special bloodline or heritage that he discovers.
It could be a jealous demigod. Maybe someone who has always been envious of Percy's popularity and abilities. Now that Percy has wings, this demigod sees it as an opportunity to make Percy look bad. They spread rumors that Percy's wings are a sign of him being cursed by the gods and try to turn other demigods against him while he's already feeling sick and struggling with his new wings.
In this 'Percy Jackson Gets Wings' sick fanfic, it could be that Percy gets wings as a gift from an unknown god. But the wings come with a curse that makes him sick. He starts having visions whenever he tries to fly. These visions show him some dark secrets about the gods. Percy has to figure out what the visions mean and how to break the curse while also learning to control his new wings. He might go on a journey to consult the Oracle or some other wise beings in the demigod world.
Well, in a 'Percy Jackson Gets Arrested' fanfiction, perhaps he could be framed by a monster in human form. The police, not knowing his true identity as a demigod, might take him into custody. This could lead to a whole lot of chaos as his friends from Camp Half - Blood would surely try to break him out. They would have to figure out how to deal with the mortal legal system while also fighting off any monsters that might be taking advantage of the situation.