Do NOT tell any stranger you have a gun! However, you handled the possession of the gun perfectly when you told the police ahead of time and let them know where you would put it.
Friends of mine who know I have a gun ask me if I would use it! I've told them that there is no reason to have one if you aren't properly trained and prepared to use it. Most gun owners like myself pray they will never be in a position where they have to fire that gun except on the practice range.