You're taking independently a bit different I assume. I know what MAGGOT is saying and it surely isn't that. When going into a relationship, I would rather have a girl that I see that can hold her own and isn't depending on someone else to always keep her up. Does that mean she can't be dependent at all? Of course not. She will still be held etc without a doubt. But there's some girls out there that aren't an ounce independent in the sense that they can't do anything on their own, whether it be emotionally or using their brains.
Finding someone that is motherly (Me and a buddy use "wifeable") is someone that has some form of independent nature. If you are dependent, then that is when you would be sleeping around etc, not when you are independent.