Appear to be entertained by Chinese emperor (4)
I believe the answer is:
seem
'appear to be' is the definition.
(I've seen this before)
'entertained by chinese emperor' is the wordplay.
'entertained by' says the answer is hidden in the clue (the clue hosts or entertains the answer).
'SEEM' can be found hidden inside 'chinese emperor'.
(Other definitions for seem that I've seen before include "Appear to the eye" , "Appear, look" , "Come across as" , "Appear, give impression of being" .)