Composer embracing cold American god (7)
I believe the answer is:
bacchus
'god' is the definition.
(Bacchus is an example)
'composer embracing cold american' is the wordplay.
'composer' becomes 'bach' (Bach is an example).
'embracing' means one lot of letters goes inside another.
'cold' becomes 'c' (eg on taps).
'american' becomes 'us'.
'bach' enclosing 'c' is 'bacch'.
'bacch'+'us'='BACCHUS'
(Other definitions for bacchus that I've seen before include "Greek god of wine, also called Dionysus" , "Roman god of drink and revelry" , "Greek god of drink, also called Dionysus" , "Another name for Dionysus, Greek god of drink" , "Greek god of boozing" .)