Urrutia temporarily worked in a cultural center belonging to UNAM, House of the Lake (Casa del Lago), where she organized the first cycle of conferences focused on topics important to women. Urrutia created her first compilation, "The Image and Truth of Women" (Imagen y Realidad de la Mujer), and published it in 1975 by utilizing the World Conference on Women, 1975 (Conferencia Mundial Sobre la Mujer de 1975), which was hosted in Mexico City. She would go on to meet Alaíde Foppa, who helped her to publish the first feminist magazine, "Fem", in 1976 alongside Elena Poniatowska, Marta Lamas, and Lourdes Arizpe. While the push for women's rights was well underway at the time, "Fem" became the first printed forum to advocate for women's rights. Through her magazine, Urrutia met renowned feminists Lourdes Arizpe and Flora Botton, who worked for Colmex, and with the support of the Ford Foundation, their collaboration led to the establishment of an institution known as The Interdisciplinary Program of Female Studies (PIEM) on March 15, 1983. Urrutia focused on women and covered topics such as gendercide, abortion, women and power. She also helped establish the Center for Psychological Studies in Colmex, led the Casa del Lago, and the Chopo University Museum.