Favourite city medic's future wool supplier (3,4)
I believe the answer is:
Here is my best explanation:
'future wool supplier' is the definition.
'favourite city medic's' is the subsidiary indication.
'favourite' becomes 'pet' ('pet' can be a synonym of 'favourite').
'city' becomes 'la' (Los Angeles).
'medic' becomes 'mb' (Bachelor of Medicine).