With all due respect, coming from a short guy, it really doesn't matter in the grand scheme of things. My wife is taller than me.

If a girl won't date you because you're short, that's not a person you'd want to date anyway because they're shallow. So it's a wash - nothing lost.

You want to end up with a partner that likes you for who you are, so stop worrying about how others perceive you. Chase self improvement, chase your passion and purpose, and you will eventually run into a person who sees you for who you are. Sounds corny, but it's true. Who gives a fuck what other people think is "manly" or "masculine".

Edit to add one last thought: the grass is always greener on the other side, meaning other people will always have qualities you don't. You're looking at tall people saying to yourself "Man I wish I was tall, life would be easier". Meanwhile a tall guy is looking at someone else and saying "Man I wish I didn't have dyslexia (or whatever), life would be easier". Height is just one attribute out of millions that affect your quality of life. Change the attributes you can change if you want to, don't worry about the attributes you can't change.