I might be similar to Rey from Star Wars. I have a strong sense of adventure and a determination to do what's right, no matter the odds. Also, I have a bit of her stubbornness when it comes to achieving my goals.
I'd say I'm similar to Katniss Everdeen from The Hunger Games. I have a strong sense of justice and am willing to fight for what's right, even in tough situations.
Percy could start to form new relationships within the Faunus community. These relationships could teach him different values and ways of life. Maybe he'd meet a Faunus mentor who would help him understand and control his new Faunus powers, if he has them. This would be a big part of his development, as he'd be learning from a completely different perspective than he's used to at Camp Half - Blood.
Develop his relationships. If Percy is the son of Persephone, his relationships with other characters like Annabeth will change. There could be jealousy or confusion from her side as Percy's new heritage might bring new responsibilities and loyalties. Also, his relationship with the gods, especially those related to the Underworld and nature, would need to be explored. He might have to deal with Hades in a different way now.
His character would become more confident in his artistic abilities. Apollo is the god of many arts, so Percy would likely be exposed to music, poetry, and painting. He might be more flamboyant in his actions and speech, as Apollo has a certain charm. For example, he could start using more flowery language when talking to his friends or enemies.
Percy's character would likely become more in tune with nature. He'd be more reserved perhaps, as he grows up in an all - female group. His sense of honor might be more shaped by Artemis' values, such as protecting the weak and the natural world.