English-French battle out, racing animatedly (9)

I believe the answer is:

agincourt

I'm a little stuck... Click here to teach me more about this clue!

'english-french battle' is the definition.
(I've seen this before)

'out racing animatedly' is the wordplay.
'out racing' anagrams to 'AGINCOURT'.
However, I am not sure how this is indicated.

Can you help me to learn more?

(Other definitions for agincourt that I've seen before include "English victory in 1415" , "October twenty four, 1415 battle" , "battle site" , "Battle in Hundred Years' War" , "where Henry met Constable" .)

I've seen this clue in The Hindu.

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