Couple comments here. First the crop/composition seems to be an issue. I understand that there are constraints with working with insect, and especially ones like dragonflies that tend to fly off with out warning, but I think moving your camera to the right when you were taking the shot, and then framing with the insect closer to the right edge would have given you more flexibility when cropping later. Given the image you have, I would keep all the negative space you have on the left side and try to crop out the bright leaf as much as possible. I might also try to make it wider, as I hate square-ish crops, but that is my personal opinion.
Next there is the contrast/lighting. It appears to be taken mid day which is ok for finding dragon flies, but not the best for getting smooth lighting. Instead the sun appears to be a little harsh for me. Your post work does not help this I think, as it darkens the shadows underneath the insect and increases the highlights which are already quite strong. I would try to brighten up the areas under the head and thorax before I consider adding contrast to that area. I think this would help with alleviating your lighting conditions after the fact. As was stated, adding flash to fill, or even using a reflector to bounce the sun light would be the ideal solutions next time. Just know if you use a flash, TTL flash WILL make the dragonfly fly away, and manual flash will make it fly away eventually. A reflector might work if you can get it into a good position with out initially disturbing the insect.
In your processed version, I think you might have over sharpened a little bit too. Its hard to tell though, so dont take that as gospel truth.
I am not a fan of the follow up version you posted as well. Over all I like the first version presented here(the one that appears to be less processed). In the future if you would like people to be able to demonstrate what they are talking about with cropping or processing your image, be sure to turn on Image editing OK in your profile settings so people know that you allow for that.
Hope that helps.