Personally I feel this edit is simpler, more elegant and I think the message is clearer. But you may be asking 'that's all fine Bruce, but how could I have removed the part of the scene while I was there, rather than use a cloning tool later on?'. My answer would be that you have to weigh up the errors you see at the time of capture and whether you can do anything to remove them whilst there. Perhaps if I'd repositioned the camera, the distraction may have been hidden by other branches? I do remember thinking there was no way around it - whatever I did - the distraction was still there. So I feel a sense of pragmatism was employed: I asked myself - can I live with it? Or does it kill the image?. In the case of this photograph, I felt I could still live with the distraction and you'll even see that if you go into the respective image gallery on this very website, the unaltered version is there. Because I felt that there was more working in this image than not.
So in general, here is my thought processes about distractions:
1) Can I reposition to remove it? And will it upset the balance of the composition if I do?
2) If I can't reposition without upsetting the balance of the composition, can I leave it in without it killing the image?
3) If the distraction is going to kill the image, then I would prefer to walk away and find something else to work with. Otherwise, I'm happy to leave it in.
4) Don't over-edit your work. It's fine to leave tiny errors in the picture if you feel the entire image still works. You can over-do cleaning things up so it's always a balancing game. Too much editing will leave the image looking very contrived. Too little and the image isn't fully realised.
So how does anyone go about improving their visual awareness?
One way I would suggest, is to look at your work on your computer and ask what might have been improved if it wasn't present in the photograph. You can even go as far as cloning distractions out to see if the image would have been improved - but just to see if any improvement would have been made only - I'm not advocating you start to clone things out all over the place - that's not the point of the exercise - you're just doing it to exercise your visual muscle.
The simple act of imagining how an image may have been with something removed is a great visual technique to exercise regularly. If you do this while editing your work, it will become second nature while out in the field.
Visual awareness is all about asking yourself questions - by having a sense of inquisitiveness - at all times about what you're doing. Rather than accepting a photograph doesn't work and discarding it, you can learn a lot about what went wrong by looking at the errors and asking yourself 'why doesn't this work?, what would have happened if I'd managed to get rid of the error?'.
I think that good imagery comes from going that extra 5%. if you can improve a good image by that 5%, it can be transformed into a very fine image indeed. It's up to you to notice and work with distractions whilst you are out in the field and that will only happen once you start to ask yourself questions all the time.