Hi Adrian
I know very little about this watch. I bought it because I rather liked it, and because of its connection with Schaffhausen.
I do not know if it is a men's or a woman's watch but your premise that it has the movement of a woman's pocket watch makes sense, as the first wristwatches used movements from women's pocket watches.
I am inclined to think it is a men's watch because the day/date complication would be unusual in a woman's wristwatch in 1917.