This is a container clue - one set of letters goes inside another word or phrase to form the answer.
Take the last letter from 'women' and insert it into a word meaning 'hiding' or 'beating'. The container word has 6 letters, and you're adding 1 letter inside it.
Answer: CANNING | Take N (last of 'women') and put it inside CAGING (a hiding/beating) to get CANNING (firing/dismissing from a job)