Your doctor is correct. You are describing a condition called Dermographism which is a form of Physical Urticaria, and this isn't caused by an allergy. You have an overabundance of skin Mast cells that release histamine easily when you rub or apply pressure to the skin. The condition may be chronic and you have to try and not rub the skin and take an antihistamine such as Cetirizine to control it.
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