Undertaker could be romantic, I fancy! (9)
I believe the answer is:
mortician
'undertaker' is the definition.
(synonyms)
'romantic i fancy' is the wordplay.
'fancy' indicates anagramming the letters.
'romantic'+'i'='romantici'
'romantici' with letters rearranged gives 'MORTICIAN'.
'could be' is the link.
(Other definitions for mortician that I've seen before include "US undertaker" , "One undertaking" , "Funeral director" .)