His age bothered hostess (6)
I believe the answer is:
geisha
'hostess' is the definition.
(Japanese woman hosting or entertaining men)
'his age bothered' is the wordplay.
'bothered' indicates an anagram.
'his'+'age'='hisage'
'hisage' is an anagram of 'GEISHA'.
(Other definitions for geisha that I've seen before include "Trained Japanese hostess - his age (anag)" , "Professional female companion for Japanese men" , "Japanese paid companion" , "Traditional Japanese female entertainer of men" , "Female escort" .)