What does "Make a woman out of me" mean?

I agree.

On the other hand, we say things like 'The army will make a man out of him', with no sexual connotation.

Best wishes, Clive
My dear Celine,

It means: «facilitate my transition from girl to woman».

It is possible that the phrase has a sexual connotation. You had better be discreet about the context, no? Emotion: smile

Kind regards, Emotion: smile

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 Clive's reply was promoted to an answer.

It could mean that a girl army recruit comes out of boot camp a full fledged woman and a lean mean fighting machine!