What problems is Piper having with her identity?

Piper is also having an identity crisis. She has been claimed by Aphrodite, but everything about the Aphrodite cabin seems to clash with her personality and ideals. She does not like make-up or fashion, and she thinks it is appalling that the other Aphrodite campers like breaking people's hearts. She tells them that Aphrodite does not have to be about these things, but is not confident enough in herself to tell them what Aphrodite should be about.