Crossword Genius

Being female, she has many a man (5)

Ross

I believe the answer is:

madam

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

'being female' is the definition.
'madam' can be an answer for 'female' (madam is a kind of female). I'm unsure of the 'being' bit.

'she has many a man' is the wordplay.
'she' becomes 'ada' ().
'has' is a charade indicator (letters next to each other).
'many' becomes 'm' (Roman numeral for a thousand).
'a man' becomes 'm' (M is an abbreviation for male or masculine).
'ada' put after 'm' is 'mada'.
'mada'+'m'='MADAM'

Can you help me to learn more?

(Other definitions for madam that I've seen before include "Bossy girl" , "What you would call a female customer (or a spoiled girl!)" , "Formal address to a woman - precocious little girl" , "precocious schoolgirl?" , "Term of address to a woman" .)

I've seen this clue in the Evening Standard.
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