Men ain't afraid of 'independent women'. They just don't to hear the mouth or deal with the nonsense,.Men don't want 'independent' women, ie women that think 'they don't need no man'. But men DO like a woman that's SELF SUFFICIENT, meaning she can support herself when she's without a man, but when she meets a man she likes, she can respect him enough to move out the way and let him be the man.
Also, men ain't afraid of women that make more of them either. Not a man I know that would turn down a woman that happened to make more than him but she didn't come with the attitude that often comes when a woman makes more than a man. "unnh unhhh this MY house, I pay the bills. This MY car. You can't tell me what to do. Why you ain't making as much money as me, etc." In most cases the bigger the disparity in income between a man and woman, the harder she finds it to listen to her man and respect his word. It's not that men are afraid, it's that they don't want to deal with the madness..