Domestic trouble diverts a man (11)
I believe the answer is:
maidservant
'domestic' is the definition.
(maidservant is a kind of domestic)
'trouble diverts a man' is the wordplay.
'trouble' is an anagram indicator.
'diverts'+'a'+'man'='divertsaman'
'divertsaman' anagrammed gives 'MAIDSERVANT'.
(Other definitions for maidservant that I've seen before include "Domestic help" , "Abigail, for one" , "Working at home she" , "Female below stairs" .)