Everyone if you suspect a disorder,as a parent take it upon yourself to talk to your primary care physician about the matter and if needed your primary care doctor will refer you to a specialists.
Starting a new school at this age can be scary. Especially at the elementary level where the kids have been together for years and thus all know each other. You might talk to her teacher and see how she is doing on the playground. If you haven't done so - try inviting one of the kids over for a playdate or a family outing.
Actually it does sound like anxiety. OCD is one of the anxiety disorders. If OCD is the issue, your daughter might require more "help" than is available by a therapist (assuming the therapist does not have medical credentials). Usually OCD requires medication (as well as therapy) in order for the person to learn how to manage and control the impulses and compulsions (if and when they occur). But, having said that, OCD is highly treatable and the prognosis is excellent.
One more point - if OCD is the issue, the reprimand by the parent did not "cause" her anxiety; it only exacerbated the issue. Anxiety is not caused by life experiences but is a genetic component which "rears its ugly head" due to some "life experience". If not this "life experience"; another would have taken its place because anxiety will not (or can not) remain dormant. Anxiety is not outgrown nor does it go away. All the best ....