The term 'denigrate through insinuation' can be summarized as the act of aspersing, which is a seven-letter word meaning to make damaging or disparaging remarks about someone or something. Aspersing is a form of denigration, which is the act of speaking ill of someone or something in order to lower their reputation. Insinuation is a subtle and indirect way of making such remarks, often implying something without actually saying it. Therefore, denigrating through insinuation is the act of making damaging or disparaging remarks about someone or something in a subtle and indirect way.