Entreaty making some people angry (4)
I believe the answer is:
plea
'entreaty' is the definition.
(I know that plea is a type of entreaty)
'some people angry' is the wordplay.
'some' indicates the answer is hidden within the clue (some parts of the word are used).
'PLEA' is hidden in the letters of 'people angry'.
'making' is the link.
(Other definitions for plea that I've seen before include "Defendant's answer to a charge or claim" , "Humble request for help" , "Excuse; petition" , "Request for mercy?" , "Defence - excuse - appeal" .)