The first woman who lived on earth was named Eve and she had a husband named Adam. They were husband and wife and both were given the ability to make choices. Eve could make her own decisions and so could Adam. When Satan enticed Eve to take the forbidden fruit and touch the forbidden tree, she did not blame Adam. She admitted that the serpent had enticed her and she sinned. Eve carried an equal responsibility with Adam. When God declared the punishment, it was slightly different for Eve than Adam. However, both lost the right to eat of the tree of eternal life.
Paul said that in the Kingdom of God that there is no difference between man and woman and they are equal before God. People of different races, statures and languages also come before God with no differences noted. There are always physical differences among people. Men vary from each other in many ways and so do women. Of course they also differ one from another in emotions, appearance and much more. It is in the eyes of God that all are declared equal spiritually and that they therefore carry their own responsibility for their actions. All must strive to please God and grow from the nature of humans into the glorious nature of God. In His family, there will not be distinctions between male and female.