God indeed created woman to serve man, but not in the way that we should think traditionally. In Genesis 2:18, God said that “It is not good that the man should be alone; it will make him a helper fit for him,” so Eve was created off Adam’s rib bone and become his partner. Man is created in the image of God, but woman is made on the image of man. In Corinthians 11:8-9, it states that “For man was not made from woman but woman from man. Neither was created for woman, but woman for man.” So we have it the way we have now, a wife serving a husband is the norm.
However, if we read further, God wants them to “be fruitful and multiply and fill the Earth and subdue it” in Genesis 1:28. The main purpose of the woman is not to serve the man exclusively, it is to be a mother of children, a life bearer and taking care of children. Nowhere in the bible does it say that woman should only stay at home and give birth for the husband. The main purpose is to be a wife and a mother.