She did! A few years ago I actually tracked down the source of that, which was an interview done for an obscure textbook and republished it on my blog if you are interested in learning more: https://catskull.net/interview-with-margaret-h-hamilton.html

Little did she know, the term would be co-opted by guys changing the color of a button on a web site.

I wouldn't say coining "software engineer" requires special skills or personality uniqueness. It's just who is more famous and the right time.

IMO software is not engineering because it has nothing to with the physical sciences