Margaret Hamilton did not head the effort. She was a manager on the project, but she didn’t join until relatively late. At the time of Apollo 11 she was in charge of the Command Module’s software (https://www.doneyles.com/LM/ORG/index.html), but most of the work had been done by the time she assumed that position. She later became head of the whole software department, and had a lot of responsibility for modifications for later missions and Skylab, but she and others have greatly exaggerated her role on the project.

Real programmers don't reply to political bait.

I'll counter point that she/her is brought up at several points in this piece and, in general, the author seems to avoid using he/she at all, using they often.