Hello, Antonia a single word denoting the thing in question can hardly be found. One precise match would be domestic altercation , which, however, is used in a legal context (especially in criminal law). Apart from that, you might find useful the following synonyms: - war of words, high words - especially when the conflict is accompanied by shouting; - wrangle, argy-bargy, squabble - conflict over trivia, something unimportant.
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