Possible Clues:

• Like Shakespeare's Katherina
• Say nothing about preference for nagging
• Say nothing about wife -- is husband inclined to nag?
• Scrap not ending with desire to be harridan-like
• Like a rodent's short cut, long
• Run into woman with desire to be ill-natured
• Like the Bard's Kate
• (Of a woman) nagging
• Sharp-tongued
• It might be made hers to want to be bad-tempered