You should go and work hard and be a diligent student, then maybe you'll build up a rapport of some kind with the teacher. From there, many interesting and meaningful events may occur.

She may come to depend on you emotionally, expressing her true feelings in regard to the things you described (unresponsive students, etc.), and you will be able to comfort her. At first it will be emotional comfort, but eventually she will make a move that lets you know she wants and needs physical comfort.