In comments, I referred to an androgynous Adam. Here is the original passage from the Genesis Rabbah.,
- And God said let us make a human, etc... R. Yermia, the son of El'azar interpreted: When the Holiness (Be it Blessed) created the first human, He created him androgynous, for it says, "Male and female created He them." R. Samuel the son of Nahman said: When the Holiness (Be it Blessed) created the first human, He made it two-faced, then He sawed it and made a back for this one and a back for that one. They objected to him: but it says, "He took one of his ribs (tsela')." He answered [that it means], "one of his sides." similarly to that which is written, "And the side (tsela') of the tabernacle" [Exod. 26:20] Theodor and Albeck 1965 p. 54-65
One reason why I presented this passage was to demonstrate that the text of Genesis does not tell us that the first human was male. We may assume that this human was male, but the word for the first human was simply adam. This human was not called ish until ishah was taken out.
We know that adam does not necessarily designate a male human since 32,000 young women were called adam in Numbers 31.
When the topic came around to the Passover lamb having to be male, I pointed out that the red heifer had to be female. Apart from the priesthood, in which only intact males of a certain tribe could participate, there are few other roles which require maleness in a absolute sense. In the Hebrew scriptures there is at least one woman prophet, judge, landowner, warrior, builder and householder.