Why I Run (Fem. Percy Jackson x Young Justice)

What if Percy was a girl? What if Sally wasn't her mom? What if Bruce Wayne adopted her when she was little? What if she had to run away from him? I own nothing. I probably screwed up the batman timeline. There will be young justice. I have never read a batman comic in my life, so if i get something wrong, please nicely tell me. No being rude in the comments though.