Eillam's activism and her writings on feminism and social justice have garnered her awards and recognition, including an honorary doctorate from the Hebrew University of Jerusalem.

Prior to this, she worked as a research assistant to professor Dafna Israeli, studying "Women Leaders of the Yishuv Era".

[1] According to Eillam, she was already a mother of two when she realized, in 1970, the extent to which every aspect of her life was affected by the fact that she was a woman in a patriarchal society.

The final report released by the commission was presented to Prime Minister Menachem Begin in 1977, and included Eillam's research on gender stereotypes in elementary school textbooks, which she edited together with Michal Beller.

At the beginning of the decade, she worked as a community coordinator in the Neve Ofer neighborhood of southern Tel Aviv, and for a number of years was on the steering committee for the Shatil organization of the New Israel Fund.

[7] In 1990, Eillam initiated and participated in Operation Witnesses, conducted by a number of feminist organizations that gathered testimonies from victims of violence.

[9] The organization conducted field trips, seminars, and other educational activities, published a newsletter, and contributed to research and articles on the subject.

In 2000, together with other feminist activists, among them Henriette Dahan Kalev, Vicki Shiran, Neta Amar and Shula Keshet, Eillam was one of the founders of the "Ahoti – for Women in Israel" movement (Ahoti/Achoti = [my] sister), focusing on promoting economic, social, political and cultural justice, and advancing the rights and status of women from non-hegemonic groups in Israel.

The initiative was established by Ortal Ben Dayan, the Mizrahi activist, as part of a series of activities designed to protect women from violence, including the distribution of pepper spray.

Topics include politics, research methodology, analysis of texts from various disciplines from a feminist perspective, sexual violence, culture, and more.

Eillam is critical of the hegemonic feminist discourse, which was imported to Israel from the United States in the context of cultural imperialism, and which she claimed perpetuates class stratification between women.

An important feminist principle for Eillam, and of Mizrahi Feminism, was the recognition that it is not only the patriarchy and its institutions that position men as the holders of relative power over women, but that there are also relative differences in the power held by women and access to resources, based on ethnicity, class, and other intersections of identity and social position.

Within her academic pursuits, Eillam has worked to introduce feminism to the institutions, acquainting students and professors alike with the discipline.