I think your intuition is absolutely correct. She needs psychotherapy, and you need to begin some research to find someone competent. I would suggest a CSW whose bio/curriculum vitae demonstrates expertise both with children and with Cognitive-Behavioral or Dialectical-Behavioral therapy. I say a CSW because MDs (Psychiatrists) largely dispense medications now, rather than do talk therapy. If medications prove to be necessary, the therapist will refer you to a psychopharmacologist, but I recommend you resist medicating a child unless you very much trust the practitioner.