Like Romeo and Juliet...sadly :/
If you're referring to Daisy from the Great Gatsby, she is contradictory because she might behave like she is a rich trophy wife whose job is to just be beautiful, but it turns out that she is actually just a woman that is trapped by the society. She would gladly be with Gatsby, but the society being oppressive as it is making her conform.
A because to draw attention you need a hook. conflict is a great topic to keep readers interested