i am 5 foot 9 and i remember i was on a date with a woman who was 5 foot 6 . she asked about my last relationship (which is normal first date question) and of coursed I asked her the same quesiton after finishing my answer. What she said at the time floored me (at the time not today)
she said her boyfriend before me was 5 foot 5 and they laced intimacy which was more her fault than his. It was because she couldn't get turned on by him The next natural question is why is that and she said felt that (a) he couldn't protect her because he was small (and physically weak) and (b) sometimes becauseof his small stature she felt like she daing someone who had not grown up yet. Those two things kept her from feelig connected to him on an initmate level.
I loved the conversation (thought I felt sorry for the guy ) and took that question in the OP and asked it over and over while in my late 20's early 30's and interestingly most women on first dates were willing to answer the question. Almost always they were not willin go date a shorter fella and the reason they gave the most were
1) did not feel with a short guy (felt he could not protect her)
2) felt like he was pre-adult in looks
3) like to crane their head up when embracing before a soft kiss
4) like to feel their head craddled in a man's chest when hugging
5) like (turned on by) big hands (which short guys often did not have)
6 ) wanted to feel petite when with their man and a short guy made that challening
7) wanted to wear high heels on dates (to feel sexy) without towering over their man
8) not as often but liked legs as much as many men like legs and long legs were better than short
9) not sexually attracted to them but could not articutate why to me.
there are probably others that i can't remember any more--was long time ago. but the two biggest take aways is how often it turned out that women i met were turned off by short guys and how open if I just asked them, they were about height and why it mattered.
however in the data-driven world we now live in my little organic poll may not amount to jack and squat. i am sure someone somewhere crunched a much bigger dataset on the quettion and has a data-driven answer.