Happiness in the Taming of the Shrew

A great question to pose is what brings Kate individual happiness in The Taming of the Shrew? I believe Kate becomes happy once she is married because it let her clear her identity and start over since she was following societal norms of marriage. Before she was married she had the identity of a shrew because of her wit and a un-ladylike behavior. I think this behavior stems from jealously of her sister Bianca because of her looks and polite behavior. Kate was always negatively compared to her younger sister which may have been hard. Her witty personality was a her way of coping and a backlash against the norms of societal behavior which gave her a shrewd identity. Her social status she had to live up to was the expectations of an affluent young maiden-in-waiting. Since she did follow the expectations of her role in society she was called a shrew which made her very unhappy. When she is married she given a clean slate and is able to start fresh by following the norms of a wife which was to be passive and obedient to her husband. I feel like Petruchio does not tame her because she wants to follow societal expectations so she would be liked and seen as her sister is seen by society. Kate finds a way to tame herself and still hang onto her agency and independent aspect of her character. It is deceiving because to the audience it appears as if Petruchio has tamed her into an obedient wife. In her final speech Kate appears to be so tamed that it tests the power relations with males maybe suggesting she tamed herself and did not the power of a man to do this. This idea is complex and confusing but men rely on subordinating women to generate their power. In this case Kate was not resistant to him and tamed herself but this throws off his sense of power. Overall Kate is happy in the end because society sees Kate as following her status and role in society. Does happiness stem from societal acceptance?