The term 'Gave a Damn' is an expression used to describe someone who cares deeply about something. The two crossword solutions for this term are 'CURSED' and 'SWORE'. CURSED is a six-letter word that means to utter a solemn or imprecatory oath, or to call down a curse upon someone or something. SWORE is a five-letter word that means to make a solemn promise or pledge. Both words can be used to describe someone who is passionate and cares deeply about something.