Crossword Genius

Programme health professional put together with relevant agency? (2,3)

Ross

I believe the answer is:

dr who

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'programme health' is the definition.
I know nothing about this answer so I cannot tell whether it can be defined by this definition.

'professional put together with relevant agency?' is the wordplay.
'professional' becomes 'Dr' (Dr is an example).
'put together with' is a charade indicator (letters next to each other).
'relevant agency?' becomes 'who' (WHO is an example. I am not sure about the 'relevant' bit.).
'dr'+'who'='DR WHO'

Can you help me to learn more?

(Other definitions for dr who that I've seen before include "Extensive traveller" , "Traveller in time" .)

I've seen this clue in The Times.
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