My biggest problem after recovering physically is being scared while riding. I did not have that fear before the fall. I have since then been thrown again as my horse just decided to act up and was not spooking (just bumps and bruises) and had to emergency dismount the last time I was on my horse. My horse and I have started training, but I am much more timid than I was before. I saw a horse acting up during a lesson the other day and got anxious just watching that horse as he was behaving exactly what my horse was doing when he tossed me.
So, I guess that said, I am officially a RIDER. As I had read prior to falling, it is not IF you fall off, it is WHEN you fall off.
As far as your injuries are concerned, I am a nurse and think you should definitely have your injuries checked out, particularly if you have trouble bending/straightening your arm.
I also hope you (and all of us) wear helmets!!!