Help with a difficult professor and dropping a cl...?

Sorry for your case of "When Bad Teachers Happen to Good Students". While I don't think your teacher can fail you and not let you drop the course, I don't know your school's policy. Visit your school's website or go to the Academic Advising Office (or your school's equivalent). It's really unfair for you to compromise you perfect GPA just because of one cl in which you are making beyond a genuine effort. I would also ask if it is possible for this teacher to be observed/reviewed by her supervisor because she sounds horrible and schools should strive to employ good teachers.