I am glad you reached out to your therapist. That was a good step to take. And by getting the feelings out in the open, you can give yourself a chance to explore them and eventually heal.
If you were brought up in an environment where you were told that any sexual feelings were wrong, then you may find you have repressed a lot of your feelings. You may also attach shame to any feelings you have since they have been labeled as "bad" and "wrong" by your parents.
The incident of hurting the baby rabbits may be a sign of rage or deep pain you have towards any part of you that feels vulnerable and exposed. The rabbits may be a representation of how you feel about yourself. By acting against the rabbits, you may be trying to eliminate those feelings in yourself. It is a good situation to explore with your therapist so she can help you get to the root of why you feel this way.
It sounds like you have an ally in your situation which is good. But her not seeming to be real may be due to the lack of support you might have had all your life. It sounds like no one was there for you as a child and supported what you felt. And your contact with her might seem alien to you because of that.
You're welcome! Take care.