Does touching an amrad (a beardless youth) with lust – even without the intention of arousing lust – nullify ablution (wudu')?

Since the matter is an obsessive-compulsive disorder, its treatment is to disregard these obsessions and not act upon them. Therefore, do not refrain from shaking hands, do not perform ablution if you touch, and do not wear socks out of fear of touching. None of this obsessive behavior is incumbent upon you, and there is no salvation except by resisting it and diverting your mind from it.