Vivaldi's first sonata ending in 'not moved by love' (7)
I believe the answer is:
antonio
'vivaldi's first' is the definition.
(first name of Antonio Vivaldi)
'sonata ending in not moved by love' is the wordplay.
'ending' says to take the final letters.
'moved' indicates anagramming the letters.
'by' is a charade indicator (letters next to each other).
'love' becomes 'o' (In tennis, 'love' means 'zero'**).
The last letter of 'sonata' is 'a'.
'in'+'not'='innot'
'innot' anagrammed gives 'ntoni'.
'a'+'ntoni'+'o'='ANTONIO'
(Other definitions for antonio that I've seen before include "Name of the Merchant of Venice who borrowed money" , "Shakespearean merchant" , "Italian chap" , "Pound of flesh promiser" , "-- Vivaldi, composer" .)