Basically, there's this video that asks women whether or not they would pick a short man with a large penis, or a tall guy with a small one.
Pretty silly, but what's interesting were the women who talked about choosing the short guy, but only in private, because they'd feel anxious being seen with a short guy in public. I've seen this mentality numerous times, even when penis size isn't involved. Some girl would like a short guy, but not date him due to embarrassment.
It amazes me how many people believe mating is purely instinctive, when there are women who literally talk about public perception influencing them.
This study claims, "Results from the online survey indicate that women wanted tall men for a
variety of reasons, but most of the explanations of our respondents
were connected to societal expectations or gender stereotypes."
Here's my longer post questioning height and societal/biological roots, complete with numerous sources: http://heightismandothershit.blogspot.ca/2016/07/why-i-dont-believe-height-preferences.html