Woman's request certain to cause annoyance (11)
I believe the answer is:
displeasure
'annoyance' is the definition.
(displeasure is a kind of annoyance)
'woman's request certain' is the wordplay.
'woman's' becomes 'di's' (short for Diana).
'request' becomes 'plea' (plea is a kind of request).
'certain' becomes 'sure' (synonyms).
'dis'+'plea'+'sure'='DISPLEASURE'
'to cause' is the link.
(Other definitions for displeasure that I've seen before include "Annoyance, disapproval" , "Feeling of annoyance" .)