According to Serebii, chanazn was right in that Meowth does not learn Quick Attack anyway. The only way Kafey would win was if Fake Out is critical, or Hi Jump Kick misses and Mienfoo crashes. I thought somehow you were actually confusing Meowth for another Cat Pokémon. Indeed it is actually Glameow, not Meowth, that can get Quick Attack as an egg move.
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