"Drew" is about an unrequited crush. The speaker is a shy member of the band who watches a boy from the back of the room and at every home game, while he never seems to notice her. The poem opens with "I should give up," which sets the tone right away: she is tired of hoping, though the rest of the poem shows she hasn't managed to let go.
What she feels is a mix of longing, hurt, and self-doubt. She praises him in short, simple lines ("He seems so nice," "He's so funny!"), and the little burst of excitement in that last one shows how much she admires him. But she keeps calling herself "just the band nerd" and "just the shy nerd," as if she has already decided she isn't worth his attention. Seeing him with another girl stings most. The mood is quiet, wistful, and a little sad, like a secret she's carrying alone.