If the behavior is really as disrupted as it sounds in your post, at home and in school, it might be helpful to get a private assessment.
You could ask your pediatrician for a referral to either a child psychiatrist or look on this site for a child psychologist that works with gifted kids in your area.
I read in one of your posts that your daughter has never slept through the night and has night terros. Not sleeping and irritability could be related to anxiety, ADHD, or Sensory Processing Disorder, or perhaps something entirely different.
Having gone through something similar in regards to behavior issues at that age, professional advice was really helpful. We were able to keep a handle on the behavior through specialists with non-drug interventions i.e. diet, therapy, etcetera, until age ten. (My spouse's work has also involved weekly business travel since our child was an infant.)