First, I would like to explain that there is not an exact definition on who is smart. There are different types of intelligence and if we lack skills in one field we compensate them with abilities in other.
In my opinion, a smart woman is the one who can take responsibility for her actions, who can prioritize her tasks and goals and maintains healthy levels of self-criticism. The smart woman is educated and informed on diverse topics, she can communicate effectively with people from different backgrounds and cultures, she can put herself in the other person’s place; therefore she is able to accept or disprove the opinions of the others.