Isn't the singer, Seal, completely bald, plus scarred in his face? And look how successful he is. Pitbull is bald, or going bald, but shaves his head to make it less noticeable. Just saying, going bald shouldn't stop your music career if you have talent. If you are hoping to become popular because your looks, then yes I guess hair does matter. If you have a great voice, nobody will care how you look like.
With that said, i'm not the type to advise people to "shave your head", or give up. Get on finasteride, you have options to stop hair loss, use them before giving up.