I have been following this thread with interest because I'm confused about current concepts of politeness toward women.
I'm old. In ancient times I was taught to let women first through the door, hold the door for them, hold the chair for them at a restaurant, women always first. Be helpful, etc. Never thought this approach would be offensive to some women.
Now if I hold the door for a woman (pretty, ugly, young, old, doesn't matter), rarely do I get a pleasant nod or thank you (mostly from the old ones). I more often get a surprised look or a scowl. On the other hand, if I get discouraged and don't hold the door, I feel guilty. I guess if I see a woman diver fall in the surf, thrown about by waves, I should stand around unless asked for help. I certainly don't want to be accused of copping a feel (through a wet suit and a BCD, really?)
Oh well, I guess I'll continue to do as my mother taught: be helpful without touching, not because women are inferior, but out of respect.