One could argue that the biggest conflict in this chapter is Stephanie's conflict with herself. This is an inner conflict in that it has to do with how Stephanie feels about herself. Socially awkward and unable to get a date, she sees herself as puny in every department.
Her friend Alexandra wants to improve Stephanie's shockingly low self-esteem. She aims to do this by utilizing the power of the imagination. Through the imagination, she hopes to get Stephanie to see how it's possible to change the way you look at yourself and the world around you. Stephanie's naturally quite skeptical about such an idea; she has a pretty cynical outlook on life and doesn't often, if at all, exercise her imagination. Nevertheless, she's willing to give it a go.
This is where the whirligig comes in. For Alexandra, it's a symbol of invisible forces that can be harnessed to turn dreams into reality. Although Stephanie is somewhat skeptical, as we've seen, she overcomes that skepticism in allowing Alexandra to visualize a handsome boyfriend for her. In doing so, Stephanie's going some way towards dealing with her self-esteem issues. Deep down, she knows that this is a conflict she must resolve if she's to fulfill her dreams.