Sorry wolf, but I did feel like shouting! (Talk about being rude:)
First of all-did your rav mean greeting aquaintances or greeting absolutely never met before and never will meet people.
I don’t greet ANY people that don’t know me,whether male or female. And I wouldn’t feel good if they would greet me. I only need people who know me to greet me.
Anyway wolf-Pleeeeeaaaasssseeee don’t act silly. You know a wife is different. If my hub wouldn’t speak extra with me, then I would be very hurt and probably divorce him. A couple has a special relationship that they have to keep.
But that woman across the street who never met you before, shouldn’t be greeted. Sorry.