Crossword Genius

Females given note in secret without a problem (10)

Ross

I believe the answer is:

swimmingly

'without a problem' is the definition.

'females given note in secret' is the wordplay.
'females' becomes 'wimmin' (non-standard spelling of 'women').
'given note' becomes 'g' (musical note. I am not sure about the 'given' bit.**).
'in' means one lot of letters goes inside another.
'secret' becomes 'sly' (I've seen this in other clues).
'wimmin'+'g'='wimming'
'wimming' put into 'sly' is 'SWIMMINGLY'.

I've seen this clue in The Guardian.
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