Can 'egalitarian' be used for gender bias also?

Solution 1:

This wikipedia entry provides an example of use of egalitarian towards gender.

The Christian egalitarian view holds that the Bible teaches the fundamental equality of women and men of all racial and ethnic mixes...

Every now and then I have seen reputed print media referring to men who strive for female causes as egalitarian. For example note the use of egalitarian for gender equality here.

I believe it can be (and often is) used for gender equality.

Solution 2:

Of course.

Egalitarian, adj. - of, relating to, or believing in the principle that all people are equal and deserve equal rights and opportunities.

If all people are equal, that includes gender, race, religion, status, etc.