Yes, what DonHolgo said is right. But I would add some explanation. "Frau" as married women is often used with possessive adjective ( "seine Frau" (his wife), "meine Frau" (my wife), "deine Frau" (your wife). If somebody speaks about "die Frau" without any affiliation to somebody, it's mostly meant as "woman" in english. If somebody wants to say something about the status of a married woman, we call it simple "Ehefrau" (=wife). For example: "Ich bin eine Ehefrau." (I'm a wife.) "Ich bin eine Frau." (I'm a woman.) "Ich bin seine/deine Frau." (I'm his/your wife.)

Both. It's simply "a woman", regardless of marital status.