Anger some when accepting refusal (5)
I believe the answer is:
annoy
'anger' is the definition.
(annoy can mean to anger or irritate)
'some when accepting refusal' is the wordplay.
'some' becomes 'any' (similar in meaning).
'when accepting' indicates putting letters inside.
'refusal' becomes 'no'.
'any' going around 'no' is 'ANNOY'.
(Other definitions for annoy that I've seen before include "be a nuisance" , "Irk" , "Nark - nettle" , "Anger" , "Gall" .)