Typically speaking, women’s feet are narrower for a given size, and have a lower instep height. They also have shorter ball to heel distance, but longer toes for the same size. They aren’t just scaled down versions of men’s feet.
I have size 8 feet which is pretty small for my 6ft 2″ height (You know what they say about small feet though… small shoes!). They’re very narrow too, and I find that men’s footwear rarely gives me a good fit and are quite “sloppy” around my foot and I have to really crank down the laces to get a secure fit. I actually prefer the fit of women’s specific approach shoes and hiking/mountaineering boots, but trying to find “manly” colours can be a challenge.