Smooth leading couple leave First Lady

I believe the answer is:

press

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'smooth' is the definition.
(I've seen this before)

'leading couple leave first lady' is the wordplay.
'leading' is a charade indicator (letters next to each other).
'couple' becomes 'pr'.
'leave' shows that the letters should be reversed in order (I've seen 'left' mean this).
'first lady' becomes 'sse' (I can't justify this - if you can you should believe this answer much more).
'sse' reversed gives 'ess'.
'pr' put next to 'ess' is 'PRESS'.

Can you help me to learn more?

(Other definitions for press that I've seen before include "Forcibly enlist" , "Reporters" , "newspapermen?" , "Journalists - crowd" , "Squeeze out (juice/oil)" .)

I've seen this clue in The Daily Mail.

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