The Taming of the Shrew: Katherine In William Shakespeare's play, The Taming of the Shrew, the shrew played by Katherine, had a terrible outlook on life and just about everything else. Her negativity caused by her younger, more beautiful sister Bianca. Bianca wanted to get married. She had all of the men's hearts, Katherine had none. If Katherine got married then Bianca could get married. She truly was a shrew who needed to be tamed. Then Petruchio came to Padua. Petruchio couldtame Katherine for the right amount of money. Before Petruchio's arrival, Katherine, the terriable, untamed shrew, caused problems with everyone.