I have heard women complain about men holding doors for them, as if it is inherently offensive and implies that they are weak.... I would hold a door for anyone.... It has to do with noticing our fellow human beings and saying, "I recognize that you're on this planet, and I don't want a door hitting you in the face.
Gunn's Golden Rules: Life's Little Lessons for Making It Work (ed. Simon and Schuster, 2010) - ISBN: 9781439176566