What is the difference between bemused and amused?

What is the difference between bemused and amused?

Bemused can be confused with amused. Bemused means "confused, bewildered, or baffled" and has nothing to do with amusement or humor or anything funny at all. The eighteenth-century poet Alexander Pope first used the word to describe someone who was muddled by liquor or had found a muse in beer.

What is a bemused smile?

; NAmE /bɪˈmjuːzd/ ​showing that you are confused and unable to think clearly synonym bewildered a bemused expression/smile She looked somewhat shaken and bemused by what had happened.