I've never heard of a girl discriminating against a guy for his height if she's in love with him. Taller girls (5'10 and up) might complain that they can't find men their own height (and there aren't a lot of tall dudes anyway), but the average female height seems to be 5'6-7. Most girls I know are that or under so you're not too short at all. I very rarely see tall guy and tall girl together, either.
There's no rule that you have to date someone your own height. But height, like anything can just be a specific attraction like long legs on a girl - not everyone can have them and there's no leg extension surgery!The point is there;s no point dwelling on if it's turn off if it's beyond your control. Someone who does reject you over something as trivial as height ain't worth the time of day.
Really, 5'7 isn't short considering there are a lot of girls who aren't much taller than that anyway. Mostly the height issue is just a guy's insecurity. What IS a turn off is being self conscious, not being short.
You know what, it really depends on the girl. For me being 5ft you are taller then me, and therefore your height wouldn't matter. Admittedly I would prefer a man whose taller than me, but I wouldn't mind if he was the same height as me. Now being short myself, it isn't difficult for others to be taller.
One of my mates, she is huge, and she won't date anyone smaller than her, and unfortunately that makes her not date much, cause for a girl she is tall, and she is going to struggle to find every guy to be the same or taller.
You are what I would call in between, you're not so tall I would need a step ladder, but you're not so small I need to crouch.
I am 5'7 and I think it is very comfortable having a guy who is the same hight. I have never had a guy who is shorter than me so can't say if I would like it or not but from evidence (my exs) I probably don't go for it.
For a girl taller than 5'7, it most likely will be.
Shorter girls tend to want totem poles, like no less than 6'4
Average height girls (in my experience) are usually fine with someone who is only a little taller than them, or average height themselves. (I'm 5'10)
Still, there are some girls who do not consider it a turn off. There are also girls that consider it a turn off, but not a deal-breaker. Finally, there are girls that just don't mind. There is a girl who is 5'7 dating a guy that is 5'4 at my university. Confidence is the key. If you don't act small, no one will notice.