Shrewish, in the context of the clue, refers to the behavior or characteristics of a woman resembling Katherina from Shakespeare's play The Taming of the Shrew. It refers to a woman who is ill-tempered, argumentative, or difficult to please.
Note: The provided meaning of the answer is for the latest New York Times crossword puzzle clue: Like Shakespeare's Katherina. Explanations are generated by AI and may be inaccurate.