Zach, I don't have the credentials to critique anyone's work, but I'm willing to toss out a couple of observations since you asked.
Personally, cutting off hands is a no-no. Adjust camera position or repose. I'd get his right hand "involved" , perhaps on her forearm.
OTOH, the grooms left hand comes out of no where above her head.... I'd suggest dropping it out of camera view.
I'm not sure if it's critical, but I'd prefer to have the bride's position favor the groom a bit more..... was this posed or a candid? If posed, I would have her turned into him a bit more.... probably have her right hand away from the bouquet and out of site.
I'm sure that's what you had to work with, but the background (the brickwork and partial lamp) is quite busy.... not sure what options you had.
Having said too much, I'll add that the interaction is nice, the bride seems happy. I bet the couple will love the image.
-Scott