If you do as The Badger suggests and search for images of humming birds you will see that almost all view the bird side on with it silhouetted against an extremely out of focus,almost abstract background. there is usually also some contrast between the bird and background. You don't want to change the whole image but could you add a plant so that there is another large pale leaf like those in the lower right, behind the bird? If you could get the head and part of a wing into semi silhouette it may be enough to attract the viewer's attention away from the pink flowers. There is not enough distance between the bird and background for you to much more with DOF without it looking over done and fake.
