Easiest way to get an X-ray

To put it simply, yesterday I had a minor accident whilst doing an exercise and fell onto my shoulder with my full body weight. Now it hurts quite a lot when I try to lift my arm, from the base of my neck right up to just below my elbow. At first glance, it doesn’t look too bad – there’s no swelling or discolouration – but it does hurt to the point where I have to move very slowly. I’d like to see a doctor and have an X-ray. Should I go straight to the hospital, to my GP, or is it possible here in Germany to go directly, without an appointment, to a place that specialises in X-rays?
I look forward to your replies,