I think it's more about you and the relationship with your therapist and absolutely nothing to do with the length of your hair? When we are 'taken' - as in we are in a relationship, we give off different vibes that say 'we are taken'. Perhaps right now you are 'in relationship' with your therapist?
Maybe it would be more productive for you to work with the relationship with your therapist and what needing to be her 'twin' means?
Just a thought.....
Moon