noun

• (colloquial) A conceited or quarrelsome girl.
  "Selina kept pushing and shoving during musical chairs. The nursery school teacher said she was a bad-tempered little madam."
• (slang) A woman who runs a brothel, particularly one that specializes in finding prostitutes for rich and important clients.
  "After she grew too old to work as a prostitute, she became a madam."
• (India, derogatory slang) A hated or contemptuous woman; used as a general term of abuse

verb

• (transitive) To address as "madam".
  "Madam me no Madam, but learn to retrench your vvords; and ſay Mam; as yes Mam, and no Mam, as other Ladies VVomen do. Madam! 'tis a year in pronouncing."
• (ambitransitive, rare) To be a madam; to run (a brothel).
  "The writer has never accepted the criterion “will it make money?” He has known that the application of such an irrelevancy to any of the arts and sciences resulted in sterility, error and waste. But what is more important, the writer will not pretend that this is not so. He will not pretend that the money criterion is a valid point of reference. The result has been that the writer has been kicked around from furnished room to the luxurious offices of advertising agencies and those palaces of prostitution which are madamed by public relations counsellors."

noun

• (Singapore) A polite form of address and title, abbreviated Mdm, used before a (usually middle-aged) adult or elderly woman's surname, full name or given name if she does not have a family name.