Due to a pituitary issue when I was younger I have maybe a bizarre world record of the smallest feet and hands on a fully grown man. My feet and hands are normal looking but very small. They were tiny as a baby and just never grew that big. Thought you all would find it interesting - I know it makes for good chat at parties!
Have you considered shopping women’s running shoes? There are many gender neutral color schemes among various brands (Brooks, Nike) that are available in a women’s size 5.