To be honest with you, some girls think height is a huge deal, most don't realize it though; but it's just part of the traits that turn them on.
This is okay, because just the same, there are those girls who are attracted to shorter guys.
Also, even at 5'1, there are girls who are even shorter than you, so if you prefer to be with someone your height, it's definitely possible. At least around here, I see plenty of young 5 foot women floating around.
Now I also feel sort of bad, I'm 5'6 and I used to worry! It's laughable, because it doesn't matter. The only thing that matters is that you are confident in who you are, be natural, fun and positive, and even if you get rejected (which will happen eventually, regardless, no one has never been rejected imo), just act like it doesn't bother you.
Always remember these two things, confidence is key, and there are plenty of fish in the sea.
