A barren woman is a woman who is incapable of conceiving, or incapable of carrying a child to term. A woman is termed "barren" if she never manages to have a child. This is an old, emotionally-charged term which also conveys a value judgement, as if the woman's value as a person were intrinsically linked to her reproductive ability.
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if you mean spinster, a woman who never married
it basically means that you are dating or beginning a relationship with the woman.
Little Woman, and Good wives
The oposite? In gender specific terms a baron is the masculine noun. A female with such a title would be a baroness. With this ambiguous question, I'll provide another answer incase you were mistaken with your spelling: The opposite of barren is fertile.
Durba Banerjee was the FIRST INDIAN WOMAN PILOT and the FIRST WOMAN to fly the A200