Being a flower from your garden, I would consider this more of a stem than a branch. I think that's a bit of a stretch on the challenge.
Focus is soft. I don't know if that was your intent or not, since it does't say in your Photographer's commnets, however, the out of focus look doesn't appeal to me personally. I would like to have seen this in focus. As it is, we don't get any detail from the flower what so ever. If you were going for a silhouetted look, then maybe a different background would have been appropriate.
The blanket in the background creates some distracting elements by having the squares behind the plant. The shadow on the right side is also a bit of a distraction since the left side is so bright.
I think that more contrast would be a good idea, however, again, not knowing your intent, it's hard to say. but the overall photos seems greyish.
It is good that you have your subject off center, I think this would have very little impact at all had the subject been in the center of the photo, so that was a good choice.
I also wonder if color may have been a better choice for this. I think it would have added something a bit more interesting to look at.
The idea behind this image is ok, but I think it just needs cleaned up some. Needs focus, lighting and more detail to look at. I'm just not drawn in and held there.
~Heather~
The light behind the flower seens very harsh. The flower is also somewhat out of focus and dark, probably because of the background. Difficult light when you have a really shadowy area and a really bright area. With a point and shoot, it is difficult to shoot such an image. Try many settings and subjects to learn which lighting your camera can depict well without blown out highlights or shadowy main subjects.
aside from being a bit on the over-exposed side, the shadows are not exposed enough. The texture in the back makes it seem busy, and overdone. I think a plain white or black background with some heavily highlighted shadows would of been a ton more interesting. I hope this helps, I don't mean to be over-critical.
The lighting imbalance between background and subject plus the slightly unsharp subject will cost you a few points unfortunately because the composition is really quite stunning