I saw that movie. That's revisionist history. In truth, what they were doing amounted to being human calculators. They were tasked with calculations the actual geniuses weren't assed to do themselves (read: boring).
Now Hollywood spins this as "PROUD BLACK WOMYN WHO DONT NEED NO MAN WERE THE ONES WHO
ACTUALLY SENT A MAN TO SPACE!!



", when in actuality, they were in no real terms key to the mission and replaceable (Unlike those Nazi scientists who made the strides to the rockets / space programs. Can't wait to see the Hollywood movie about the genius of those brave German Americans).
Anyhow, while there were more prominent female figures in computing early on (Grace Hopper for example), this didn't really last. You can make it about conspiracy about men barring women, but I believe the root cause to be that they aren't interested as much as guys in the field. In my experience it was always stuffed with men, even with all the incentive programs for womyn and poc's.