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I apologize on behalf of the entire gang. But sometimes when you don't get an immediate reply to a question of that sort on a site of this kind, it's because there's no such word, or at least none that exactly fit the application

When I presented the question to my wife and No. 1 son, who are much smarter than I, the only word that came to mind was "catfighting"



And even "catfighting" would be used to describe fighting among any group of women and not just the wives of a king. We don't have a lot of history of polygynous kings in the English speaking world; not much use for a word to describe a consequence of the custom.