If something colours your opinion of something, it influences your opinion in a negative way:
I'm sure my views on marriage are coloured by my parents' divorce.
I'm trying not to let my judgement be coloured by that one incident.
It basically means like "emotionally-charged arguments". They have really tense arguments since a lot of emotions are in play when one is in an argument with another. [ hotpotato's advice column | Ask hotpotato A Question ]
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