In the 1979 election, Sauvé won the riding of Laval-des-Rapides, but the Liberals lost their majority in the commons to the Progressive Conservative Party; she thus lost her Cabinet position. She remained MP for her riding after the federal election of 1980, which saw both the Liberals returned to majority position and Trudeau returned to position of prime minister, and Trudeau indicated Sauvé as his choice for the Speaker of the House of Commons. Because she strongly desired to campaign for the "No" forces in the weeks leading up to Quebec's 1980 referendum on separation from Canada, Sauvé initially refused the offer to run for the non-partisan position. But she eventually acquiesced after Trudeau convinced her that she was the right person for the job and she received permission from the leaders of all the parties in the House of Commons to engage in the federalist campaign in Quebec. She became the first female Speaker of the House.