Yes — your sentence is fine. Here are two good ways to say it:
The deer fights back with its antlers and hooves.
Or, if you want to repeat words for emphasis:
The deer fights back with its antlers and its hooves.
Why these are correct (easy steps):
- "The deer" is the animal we are talking about (the subject).
- "fights back" is what the deer does (the action).
- "with its antlers and hooves" tells how the deer fights (the tools it uses).
Small note about the words: Antlers are the branched horns on a deer’s head. Hooves are the hard parts on the deer’s feet that it can kick with.