According to the Bible the women are sinners and they are enemies of the serpents?

hen the Lord God said to the woman, "What is this that you have done?" The woman said, "The serpent beguiled me, and I ate." 14The Lord God said to the serpent, "Because you have done this, cursed are you above all cattle, and above all wild animals upon your belly you shall go, and dust you shall eat all the days of your life. 15I will put enmity between you and the woman, and between your seed and her seed; he shall bruise your head, and you shall bruise his heel." 16To the woman he said, "I will greatly multiply your pain in childbearing; in pain you shall bring forth children, yet your desire shall be for your husband, and he shall rule over you."