I don't know of any countries which serve as a counter-example today, but apparently in the very early days of computers, programming was mostly done by women.

I don't know of any countries which serve as a counter-example today, but apparently in the very early days of computers, programming was mostly done by women. At the time, programming was seen as a clerical job like typing or filing. As it moved from that to a prestigious, well-paid job, it also became male dominated. Not quite the counter-example you're looking for, though.