I'm 5'8ish. I shrink to 5'7.5 at evening but I'm 5'8 in morning / with shoes on. I found out few things with regards to romance/relationships.
1-Shorter the girl is more likely she will be more obsessed about height. Girls 5'6 and above were less caring about my height than say girls below 5'3, 5'4 (Ironically I also prefer tall women, as all humans want to create offspring in the middle)
2-Having been to both sides of being very fit/muscular and obese, I would say that short guys do not have the luxury of being unfit/ungroomed. And there are tremendous differences between being fit / well groomed and being the opposite. Being short kinda exaggerates all your negative traits. I found out that for women a fat short guy is far more repulsive than a fat tall guy.
3-I find it easy to get laid, hook up, but I had struggle in relationships. And my height was always one issue, if not the main. I'ma quite a serious and untalkative person so I can't attribute my success in getting laid to my personality, and it mostly happened in environments where physical attractiveness reigned over personal charm (Clubs, Frat Parties etc) What I think is this: If a girl likes you she will dismiss your height for the short term. If she likes blondes and you are blonde, if you are her type, if she finds you cute etc etc and it will only be a "casual thing" she will likely ignore your height. I'm sure there were plenty of women who did not find me attractive solely on my height but still that did not prevented me from having fun with women. Being fit also helped a lot.
4-Where my height prevented me was in relationships. In almost every serious relationship I had, my height come into discussion more than once. I never even had a height obsession before my first serious relationship (which was after few hookups). In relationships you become a status symbol for the women you are dating, she will show you off to her friends (which will regularly talk how short you are and/or how tall their bf is) and to her parents (sometimes they too will join in the banter). After my break ups (some good / some very bad) I asked either to my ex or to her friends etc about what did she find bad about me, and in all instances my height come into the question.
Of course height is an attractive trait for women but I think if you are just into having sex your height will be much less of an issue than if you are searching for a serious relationship. You get an easy pass on your height by being a boytoy/fkbuddy than being a boy friend.
Some might say this is anecdotal, and I would agree but I also find out many other fellow short guys (Not short short but still shorter than average, I would say guys between 5'6-5'9 ) had struggles in relationships. My family/friends say that "If your girlfriend cares more about your height than you personality etc etc, then you shouldn't date with her in first place", but It does not start like that, I think they ignore the height issue at first as in a hook up but after few weeks, (also with constant peer pressure) they kinda think "I can do better" and began fall out in love with you.
TL/DR : I found out that hooking up with women in short term far more easier than having a long term relationship.