The point that arises from this is that you were wearing the raincoat and hat for a practical reason, and surely nobody could find fault with that. It is MUCH easier to wear a hat when also wearing an overcoat or raincoat....While in NC on a rather cold, rainy day I was wearing a double breasted raincoat (like Bogart's in Casablanca) and a Whippet-style fedora and a black gentleman passed by and said "You have that classic look... I love it!"