The girl Olivier regularly used will be put off (6)
I believe the answer is:
shelve
'put off' is the definition.
(synonyms)
'the girl olivier regularly used' is the wordplay.
'the girl' becomes 'she'.
'regularly used' indicates alternate letters (letters selected on a regular basis).
The alternating letters of 'olivier' are 'lve'.
'she'+'lve'='SHELVE'
'will be' acts as a link.
(Other definitions for shelve that I've seen before include "Store" , "Lay aside" , "Put on one 1 down" , "Put aside for the present, plan or book" , "Put on one side" .)