The difference between Madam and Woman

When used as verbs, madam means to address as "madam", whereas woman means to staff with female labor.

Woman is also noun with the meaning: an adult female human.

check bellow for the other definitions of Madam and Woman

Madam as a noun (dated, _, in the UK):

Examples:

"Mrs Grey wondered if the outfit she was trying on made her look fat. The sales assistant just said, “It suits you, madam”."

"Later, Mrs Grey was sitting in her favourite tea shop. “Would madam like the usual cream cakes and patisserie with her tea?” the waitress asked."
Madam as a noun:

The mistress of a household.
Madam as a noun (colloquial):

A conceited or quarrelsome girl.

Examples:

"Selina kept pushing and shoving during musical chairs. The nursery school teacher said she was a bad-tempered little madam."
Madam as a noun (slang):

A woman who runs a brothel, particularly one that specializes in finding prostitutes for rich and important clients.

Examples:

"After she grew too old to work as a prostitute, she became a madam."

Woman as a noun:

An adult female human.
Woman as a noun (collective):

All females collectively; womankind.
Woman as a noun:

A wife (or sometimes a fiancée or girlfriend).
Woman as a noun:

A female who is extremely fond of or devoted to a specified type of thing.
Woman as a noun:

A female attendant or servant.

Woman as a verb:

To staff with female labor.
Woman as a verb (transitive):

To make effeminate or womanish.
Woman as a verb (transitive):

To furnish with, or unite to, a woman.
Woman as a verb (transitive):

To call (a person) "woman" in a disrespectful fashion.