Women certainly don't want to date men who are shorter than they are. So it is a definite inconvenience to be shorter than the average woman in your own country.
Just sit at a cafe and note every couple you see and count how many women are taller than their male counterpart. I'd be willing to bet you that if I did in my area, I'd find 0. In fact, in all my years of living and traveling I've only seen ONE couple that had a short guy (less than five foot six) with a tall woman (six foot tall+).
Or look at dating profiles on match.com and see what women want in terms of eligible heights. You're extremely likely to find women want guys who are taller than they are. In fact, it's not uncommon for a short women to want at minimum guys who are close to a foot taller than they are.
And then look at movies and show and see how often couples have the women taller than the man. It's not often.
Where do you get that impression from?