NURSE: Ms. Gilmore, uh, I need you to –
EMILY: It’s not “Ms. Gilmore”, it’s Mrs. Gilmore! Mrs. Gilmore, I’m not a Cosmo Woman!
Emily is referring to Helen Gurley Brown (1922-2012), who became editor of Cosmpolitan magazine in 1965 after the success of her best-selling 1962 advice book Sex and the Single Girl. She championed glamorous, fashionable, and sexually liberated women, who became known as “Cosmo Girls”.
It’s possible that Emily, in her state of distress, has somehow confused Helen Gurley Brown and feminist Gloria Steinem (born 1934) – Steinem became the editor of Ms. magazine in 1972, which featured Wonder Woman on its first cover.
Emily would have been a wife, and then a mother, at the time of the rise of Gurley Brown and Steinem – very proud to be “Mrs. Richard Gilmore”, and the opposite of the independent career woman in Cosmpolitan, and of the woman speaking out against the restrictions of marriage and family in Ms.
I’m not sure whether she says “Cosmo Woman” via mixing up Cosmo Girl and Wonder Woman from Ms. Magazine, or whether she simply can’t bear to refer to herself as a “girl” when she’s a mature-aged woman.