Most Helpful Girl
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.1