Important little woman causing marital offence (6)
I believe the answer is:
bigamy
'marital offence' is the definition.
'bigamy' can be an answer for 'offence' (I've seen this before). I am unsure of the 'marital' bit.
'important little woman' is the wordplay.
'important' becomes 'big' (synonyms).
'little woman' becomes 'Amy' (character from the novel Little Women).
'big'+'amy'='BIGAMY'
'causing' acts as a link.
Can you help me to learn more?
(Other definitions for bigamy that I've seen before include "Having two concurrent spouses" , "Crime of double marriage" , "overmatiness" , "Crime of marrying while still married to another" , "Marrying one person while married to another" .)