The term 'PUTS DOWN, IN A WAY' can be solved by three six-letter crossword solutions: ENTERS, SHAMES, and DISSES. To 'ENTER' something is to put it into a particular place or situation, so 'ENTERS' could refer to putting down an object or idea. To 'SHAME' someone is to make them feel embarrassed or humiliated, so 'shames' could refer to putting down someone's character or reputation. To 'diss' someone is to show disrespect or contempt for them, so 'DISSES' could refer to putting down someone's actions or beliefs.