Trump overwhelmed by rout, doleful (5)

I believe the answer is:

outdo

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'trump' is the definition.
(synonyms)

'overwhelmed by rout doleful' is the wordplay.
'OUTDO' is hidden within the letters.
But, I'm uncertain how this is indicated.

Can you help me to learn more?

(Other definitions for outdo that I've seen before include "Surpass someone at something" , "Be better in performance (than another person)" , "Perform better than, be superior to" , "Exceed" , "Go one beter than, surpass" .)

I've seen this clue in The Hindu.

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