Displeasure at some strange request (5)
I believe the answer is:
anger
'displeasure' is the definition.
(I have seen 'Hot displeasure ' mean 'anger' so perhaps 'displeasure' could also mean 'anger')
'some strange request' is the wordplay.
'some' indicates a hidden word (some of the parts of the word are used).
'ANGER' can be found hidden inside 'strange request'.
'at' is the link.
(Other definitions for anger that I've seen before include "Rage" , "Great annoyance" , "Greatly annoy" , "Strong displeasure" , "Wrath, fury" .)