First of all, some women's labia are naturally smaller, and some are naturally bigger and stick out. It doesn't mean one is normal and the other is not - they are both normal.
The fact that you're worried a man will not want you is indicative of a problem going on in our society. Our society is becoming more open about sexualized things, and porn is definitely more readily available to young people these days. Women see these vaginas and assume that the ones in porn are "normal", even though many of those women have had plastic surgery on their labias. Many more women today are becoming more concerned with the appearance of their genitals, and many get plastic surgery on them for minor cosmetic reasons.
I find this all to be rather silly. If you're in the moment with a special guy and you're about to have sex, he's not going to say, "Wait, let me look at your vagina before I put anything in there...whoa your labia are huge!....I'm going to go home." Trust me, guys don't even notice that stuff! My boyfriend of two years doesn't even know what I'm talking about if I comment on the size of my labia. If you're about to have sex with a guy, obviously you want each other enough and he's not going to turn it down for something as silly as the size of your labia.
And of course, if you find the right man who loves you for who you are, he's definitely not going to care about things like that. He'll want to make you feel special and should love everything about you, even your labia that stick out.
Just don't worry about it! It's completely normal and common. Many men will want you, just give it time to find the right guy.