The term 'REALLY RANKLE' can be solved by the crossword solutions RILE (4 letters) and EATAT (5 letters). The term 'RANKLE' means to cause resentment or anger, so the two solutions together can be interpreted as 'really angering someone'. The word 'RILE' is a verb meaning to make someone angry or upset, while 'eatat' is an acronym for 'Equal Employment Opportunity Commission', which is a US government agency that enforces laws against workplace discrimination.