Crossword Genius

Top politician crossing lake with an agricultural worker (9)

Ross

I believe the answer is:

ploughman

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

'worker' is the definition.
(ploughman is a kind of worker)

'top politician crossing lake with an agricultural' is the wordplay.
I cannot really see how this works, but
'lake' could be 'lough' (lough is a kind of lake) and 'lough' is located in the answer.
'politician' could be 'pm' (short for prime minister) and 'pm' is present in the remaining letters.
'an' could be 'a' and 'a' is located in the answer.
A single letter 'n' remains which might be clued in a way I don't understand.
This explanation may well be incorrect...

Can you help me to learn more?

(Other definitions for ploughman that I've seen before include "possibly, in the farm" , "Tiller of soil" , "Agricultural worker (having lunch?)" , "One with shares in Labour" , "Farm worker" .)

I've seen this clue in The Times.
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