a married woman: French title equivalent to Mrs.: used in English as a title of respect for a distinguished woman or generally for any foreign married woman: abbrev. Mme, Mdme
See madame in American Heritage Dictionary 4
(mə-dămˈ, mădˈəm)
nounpl.Mes·dames(mā-dămˈ, -dämˈ) Abbr. Mme.
Used as a courtesy title before the surname or full name of a woman, especially a married woman, in a French-speaking area: Madame Cartier; Madame Jacqueline Cartier.
madame Used as a form of polite address for a woman in a French-speaking area.