Sarah, Welcome to HealingWell and I am so sorry to read of your anxiety.
Actually, the phobia name for Dizziness Phobia is called dinophobia and like most of the anxiety phobias you can heal from this fear. I would kindly like to suggest you make and appointment with an ENT to receive a medical screening exam to rule out any medical reasons for your dizziness.
I like your decision to see a Psychiatrist if you are not making any progress after 7 sessions with the therapist.
I have a Psychiatrist and she is truly a blessing in helping me stay grounded as well as she listens to me which is huge.
Keep on talking with us and know we care.