Absolutely, Mildred Burke's match from '54 is legendary for that. Sidelined in real life by her ex-husband, she founded a rival league and took on Byers, who was her former daughter-in-law. The genuine hate was palpable, even the DoJ got involved. The newspaper used the era-appropriate terminology of the "ladies needing a visit to the beauty parlor".
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I think that June was married to Wolfe's son from a previous marriage, and Wolfe was Burke's second husband as well. Burke accused June of sleeping with Wolfe in order to advance her career. Imagine that.
One match that never happened, and would have had the same level of animosity would have been Moolah vs. Rita Cortez. Very similar situation.