The crossword solution for the term 'Happily-After Connector' is 'EVER, ' which is a four-letter word. EVER is an adverb that is used to refer to something that happened or exists at all times, or something that happened or exists in any place. It can also be used to describe something that happens repeatedly or continuously. For example, one might say 'I will love you EVER.' This phrase implies that the speaker will always love the other person.