Was Kate a Shrew in Shakespeare"s Comedy - The Taming of The Shrew?

One should ask the question, "Was Kate really a shrew in Shakespeare comedy, 'The Taming of the Shrew?"' It is apparent that most has taken it to be so.
Many statements have been made pertaining to Kate's character traits and her outspoken position in the play.
However, some could argue the opposite regarding Kate.
Naturally, the 1500's was a time when the voices of women were apparently suppressed in some shape and/or form.
The place of the woman was primarily in the home.
She supposedly had the responsibility of caring for the home and children.
In a broader sense, her responsibilities include being obedient to her husband, following all his requests, and completing household chores, such as: cooking, washing, sewing, and the like.
The role of the male was opposite.
He had the responsibility of being the bread-winner for the family.
He earned an income on the economy, unlike the woman who had no voice in such economic affairs.
Actually, the woman was a sort of chattel to be bargained away to the highest bidder in favor of marriage to a man, with the prize or the best dowry or offer going to the father.
Kate conspicuously found herself in such a position.
Her outspoken demeanor cast her in the position of being labeled a shrew.
One could venture to say that it was as a direct result of her nature of speaking up for herself, which led to her being labeled as a shrew.
The nature of a woman in such an era was not to be an outspoken person and defender.
Additionally, she was apparently rich.
She had wealth as a result of her position in the family and would not hesitate to speak her piece.
One could further analyze Kate as a woman who was fighting for self-liberation and free-will during her time.
Obviously, she was one of a kind who fought and spoke up for her rights.
She acted in a liberated manner, and expressed herself in a mode as one who had and displayed power in her daily life.
She was very assertive, defensive and refused to be bullied around.
Upon extending the analysis of the question, in such a position, could she have been an archetype of the modern liberated woman in today's society? Or was she really a shrew in this Shakespearean slapstick comedy? Finally, one has to wonder if Kate was being deceptive in the ending of the play when she gave her speech of subjugation.
Was she being honest or not? Nonetheless, her position certainly changed from the beginning of the play to the ending.
This leaves one alternative position regarding Kate.
Unquestionably, it is obvious that over the course of the play, she has changed from that of a flat character to a well-rounded one.