Image of woodland flasher released
The incident happened on Sunday at about 2pm as the girl was riding in woods near the A6120 ring road.
The man attracted the girl's attention by lying on the ground and clutching his ankle as though he had been injured jogging.
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Hide AdWhen she dismounted to check on him, the man got up and exposed himself. As she got back onto her horse, the man grabbed her arm and leg before starting to hit the animal.
In self defence, she hit the man in the face with the horse's reins before riding off.
He is described as white, aged 40-50 and about 5ft 8ins tall.