Somehow its act disturbs a woman, a refined person (12)
I believe the answer is:
sophisticate
'a refined person' is the definition.
(a sophisticated person)
'somehow its act disturbs a woman' is the wordplay.
'somehow' is an anagram indicator.
'disturbs' means one lot of letters goes inside another (inserted letters disrupt or disturb the word).
'a woman' becomes 'sophie' ().
'its'+'act'='itsact'
'itsact' anagrammed gives 'sticat'.
'sticat' placed within 'sophie' is 'SOPHISTICATE'.
(Other definitions for sophisticate that I've seen before include "Worldly-wise type" , "refined person - with 8d,25a,22d" , "An experienced and knowledgeable person" .)