It is not the eternal task of women to bear children. That insinuates that childless women are all shirking their responsibility. Rather, it is the eternal task of Woman to bear children. Whether a particular woman chooses and is chosen by God to conceive, carry, and give birth to a child is dictated by that woman’s personal plan of happiness.
It is the task of Man to administer the ordinances of the Priesthood in the offices of the Priesthood. Whether a particular man chooses and is chosen by God to (live in a time and place where he can) hold the Priesthood is dictated by that man’s personal plan of happiness.