FLCL Progressive

Hidomi Hibajiri is a disaffected teenager who frequently wears headphones to block out her surroundings. Her daily routine consists of attending school and working at her mother's cafe. Hidomi's life is disrupted when she's struck by a woman wielding a guitar, who is later seen rescuing her and a classmate, Ko Ide, from a robot. As a result, a horn grows from Hidomi's forehead, leading to a series of events that make her reconsider her reliance on her headphones.