She gives a refusal if rebuffed apparently (5)
I believe the answer is:
fiona
'she' is the definition.
'a refusal if rebuffed apparently' is the wordplay.
'a refusal' becomes 'no' (saying no to something).
'rebuffed' is a reversal indicator.
'apparently' becomes 'a' (this could be a standard abbreviation which I don't know about).
'no'+'if'='noif'
'noif' reversed gives 'fion'.
'fion'+'a'='FIONA'
'gives' acts as a link.
Can you help me to learn more?
(Other definitions for fiona that I've seen before include "Girl's name, meaning fair in Gaelic" , "Girl" , "Girl's name (not Flora)" .)