Madrid is in her itinerary, but part can be cut off (10)
I believe the answer is:
disinherit
'be cut off' is the definition.
(thesaurus)
'madrid is in her itinerary but part' is the wordplay.
'part' says the answer is hidden in the clue.
'DISINHERIT' is hidden within 'madrid is in her itinerary but'.
'can' is the link.
(Other definitions for disinherit that I've seen before include "Write out of a will" , "Lanarkshire town" , "Remove as heir" , "Cut off as with a shilling" .)