Here's textual evidence to support this:
* "I felt like I was going crazy... I wasn't just some normal kid anymore." This directly expresses Percy's confusion and emotional turmoil about his newfound identity.
* "Maybe I was wrong about Grover. Maybe the world was a weirder place than I thought, and maybe, just maybe, I was a part of that weirdness." This shows Percy's hesitation and reluctance to fully accept his demigod status.
* "I couldn't picture myself walking into school tomorrow and explaining to my friends that my mom was the goddess of love and I was a son of the sea god." This reveals Percy's fear and anxiety about the social ramifications of his newfound identity.
Percy's internal conflict is crucial to the story's plot. His struggle with acceptance is what fuels his journey of self-discovery and ultimately, his acceptance of his role as a demigod. This conflict also highlights the themes of identity, belonging, and the burden of a hidden truth.