Encourage doctor to discharge child (4)

I believe the answer is:

urge

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'encourage' is the definition.
(I know that urge is a type of encourage)

I can't explain the rest of the clue.

(Other definitions for urge that I've seen before include "Strong desire; impel" , "Try hard to persuade, advise earnestly" , "Press to do something" , "Encourage (to do something)" , "Incite to action" .)

I've seen this clue in The Telegraph.

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