Madam, or madame, is a polite form of address for women, often contracted to "ma'am". The abbreviation is "Mme." and the plural is mesdames (abbreviated Mmes.) The term was borrowed from the French madame, which means "my lady".

Madam also refers to a woman who owns or manages a brothel but usually does not prostitute herself.

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Madam - Use As A Form of Address - Usage in Non-English Speaking Societies
... women retain their maiden name after marriage, and some choose to be addressed in English as "Madam" instead of "Mrs" ...