Unless you count the mare coming down in the road {and she did, regardless of where Booth's leg was broken, since she was muddy on her near side and had a cut on her near side shoulder by the time she arrived at Mudd's}, I do not think Booth {or Herold after they switched mounts} had any trouble with her. Once on her back and in the saddle, she would not be able to see if the rider had a hat on. The way Jones describes seeing the mare for the first time, she appears to be rather calm & docile.