Animal that may damage trees? (5)

I believe the answer is:

steer

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

'animal that' is the definition.
'steer' can be an answer for 'animal' (I've seen this before). I'm unsure of the rest of the definition.

'damage trees?' is the wordplay.
'damage' indicates an anagram (I've seen this in other clues).
'trees' is an anagram of 'STEER'.

'may' acts as a link.

Can you help me to learn more?

(Other definitions for steer that I've seen before include "Pilot a boat in desired direction" , "cox" , "Guide, control" , "Direct; bullock" , "give guidance" .)

I've seen this clue in the Evening Standard.

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