In most cases, ear wax gradually comes out on its own and we never even notice it. At times, when earwax gets impacted, it may become hard and adherent to the skin. A forceful attempt to remove it may cause pain and even some amount of bleeding. In order to avert such things from happening, drops like ceruklear or other wax softeners are used before such procedure is attempted. By saying damage to the ear, what you actually mean is damage to the eardrum. Ear wax generally gets collected on the periphery of the ear canal and not on the eardrum, so no harm is expected in this regard. Moreover, an ENT doctor is supposed to be aware and hence you need not fear if you have gone to a doctor for wax removal.