I like to think that - for want of a better expression - demographic variables are of no consequence when I am with another person. Of course I am aware of that person's sex, age, height, skin colour and so forth, and some of these may result in subtle variations in my behaviour which originate in aspects of my upbringing. For instance, I might open a door for a woman but not for a man.
However, I can think of very few situations where a difference in sex would cause me to be uncomfortable in some way or think the situation inappropriate were I socialising or be engaged in business with a sole woman. I suspect that the worries described in the study mentioned in the website reference are a strange by-product of the underlying religiosity of the USA.