I would go to your first meeting with the counselor and just see how you feel. Ask lots of questions and just get a sense of what it's like to be sitting across from this person and sharing your thoughts and feelings. If you feel judged or things just don't feel right, you could always ask to be assigned another counselor. The most important thing is to find someone who you connect with. Your first therapist did not sound like a good match for you at all. It might also be helpful to tell your new counselor about that experience you had, so she can know what did not work.
It takes courage to reach out for help! Also please keep posting here.