The composition is good... I agree that it might have been better framed without the branch across the edge....
When you shoot the moon, it helps to keep in mind that it is being lighted by the Sun. In other words, the exposure is the same as any brightly lighted subject on earth, f-16, ISO 100 and shutter 1/100. To get the branch silhouette, you could have slowed the shutter down a bit, or opened the stop up some from that. Also, the shot would bee nicely exposed at twilight if possible, rather than at night. As it is, the photo is overexposed (from the moon perspective) and has more noise than necessary..
I think that it is a good shot worth taking again..:thumbup: