Title applied to many a nice woman (6)

'woman' is the definition.
The answer and definition can be both people as well as being singular nouns.
Maybe they are linked in a way I don't understand?

'title applied to many a nice' is the wordplay.
'title' becomes 'lady' (I have seen 'Female title ' mean 'lady' so perhaps 'title' could also mean 'lady').
'applied to' says to put letters next to each other.
'many' becomes 'M' (Roman numeral for a thousand).
'a nice' becomes 'i' (I can't justify this - if you can you should believe this answer much more).
'm'+'i'='mi'
'lady' put after 'mi' is 'MILADY'.

Can you help me to learn more?