It's all mind-set really. Regardless of the hair situation, if you do not display confidence during your meet, you're screwed.
I have always, always had confidence in myself - and I'm not saying this trying to put myself above anybody else believe me, we're all in this together, but I have been losing hair since I was 16 years old and I have had no problems with women. And some of these women were damn fine too - and I can safely say that it was due to my confidence. I mean I simply run sh*t.
So, I could sit here and give you the ol, "man up," spiel, but I know it's not that easy. My advice is you need to constantly run through your head your skills, what you're good at, your heart, and what you have to offer not just to a woman but to anyone who interacts with you. Add in some good posture, hold your shoulders steady and plum with your chest, and above all:
Speak softly, and carry a big stick.
-Theodore Roosevelt