Perhaps the word ‘nuts’ would not fit the conventional thought of the time. Certainly, highly inappropriate and unthinkable would apply for the customs of 15th century Europe. She frightened a lot of people with her fearless faith, and as you say, history tells us much regret and reconsideration ensued in the many years since. That was my original point. I have always found her very fascinating and inspirational.
I understand your point but it was her contemporaries who gave her arms, a horse, and permission to do what she did. And all of them were men with the exception of Yolanda of Aragon who backed her. The Middle Ages was an amazing time for miracles!
I always recommend to people who like Joan the novel “Blood Red, Sister Rose” by Thomas Keneally. It is a very rough book because it only deals with her military life. But wow! The best fictional account ever written.