Nice light and I like the habitat as it shows the reason for the cryptic patterning, Mac. I might clone a bit more behind the head to give it a cleaner BG in that area and darken down the 2 brighter strands above the bird on the right and the horizontal one bisecting the BG.
Most often I prefer the environmental images/natural backgrounds - but depends, I suppose.
I find that these are not easy birds to catch.
Even with the busy background, the detail in the feathers and eye stand out and the bird isn't lost. I might be tempted to blur the background just a bit (not the perch bush - as I like that very much - that is where you find a wren most often, here anyway).
I think you can strive for both a clean BG and the habitat (and if you're lucky, you'll get it!). I do like the colors of the BG here and wished the bird was positioned toward the camera. I bet this guy is a very difficult subject to capture, so congratulations.