Her modest fancy will get stifled (9)
I believe the answer is:
smothered
'stifled' is the definition.
('smother' can be a synonym of 'stifle')
'her modest fancy' is the wordplay.
'fancy' indicates anagramming the letters.
'her'+'modest'='hermodest'
'hermodest' anagrammed gives 'SMOTHERED'.
'will get' is the link.
(Other definitions for smothered that I've seen before include "Suffocated" , "Stifled" , "given too little air" , "Such a mate" , "overwhelmed" .)