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A dailiywire article quoting an "hungarian political magazine" article writes:

..Hungary, as the country’s government has decided to remove gender
studies programs from state-run universities.

A government official said the programs are based on “ideology rather
than science,” and should not be taught in higher education...

I am not sure if there consensus on what "gender studies" and what "science" is? Afaik scientific research has to follow certain principles like falsifiability, repeatability, peer review or logical deduction from theories that iteself were based on these principles.

Taking this into account, does gender studies qualify for being called a science?

According to the University of California, Berkeley website:

The field of gender and women’s studies emerged from the contemporary feminist movement with the initial goal of bringing women and their experiences more fully into knowledge. The Berkeley Women’s Studies Program was founded in 1976, bringing scholars from many different disciplines together to introduce the subject of women into serious academic inquiry. Our courses have long considered the position of women throughout history, across the world, and in different economic, ethnic and racial groups.

...

As we have expanded the content of the traditional curriculum, we have re-evaluated methods and models as they have succeeded or failed to include the experiences of women and the dynamics of gender. We have adapted the ideas and research methods of a wide range of academic disciplines, and we have produced our own body of feminist theory and strategies for engaging in transdisciplinary research and teaching.

...

Students learn to apply the methods and theories of social scientists, historians, literary critics, etc., to the study of gender.

http://womensstudies.berkeley.edu/about/history/

Clearly, Gender Studies may include science, but it is also inclusive of history and literature. Therefore I think it's fair to say that Gender Studies includes science, but is not limited to science.

The summary page finishes with this sentence:

[Students] explore a growing body of feminist theory that revises our understanding of gender, society and culture.

http://womensstudies.berkeley.edu/about/history/