Please continue with the therapy. It's important that your therapist helps you to process the wide range of emotions that you're feeling right now. Sometimes people are afraid of strong emotion, but it exists for a purpose, and in the safety of a therapy session, expressing, understanding, processing and feeling these emotions can enable a person to begin to heal. Your therapist should take you at a safe pace, and not rush things.
Something happened to you in your past to create your feelings in the present, and your therapist can help you to make some sense of these events and your reactions to them.
Please remember that if a person rejects you, it doesn't mean that there is anything wrong with YOU. It speaks more of the dynamics that are occurring, and the person's own past and issues. Because of your own issues in your past, it could be possible that subconsciously you are recreating events and dynamics, and in doing so, you're coming into contact with the very type of person that perhaps you would have otherwise have avoided, if your past circumstances had been different. Your therapist can help you with this.