Snap activity with steer’s tail for bullfighter (7)

I believe the answer is:
picador
'bullfighter' is the definition.
(synonyms)
'snap activity with steer's tail' is the wordplay.
'snap' becomes 'pic' (short for picture).
'activity' becomes 'ado' (ado can mean commotion or activity).
'with' is a charade indicator (letters next to each other).
'tail' suggests the final letters.
The final letter of 'steer' is 'r'.
'pic'+'ado'+'r'='PICADOR'
'for' is the link.
(Other definitions for picador that I've seen before include "The bullfighter who goads the animal" , "Cop raid to get bullfighter on horseback" , "Riding bullfighter" , "fighter with lance" , "Lancer" .)