Well, not really. Didn't even notice the web when I was shooting, but it seemed to show up pretty well on the computer. The dragonfly never seemed to get hung up in it, as it kept flying off and coming back to this same spot.
At first I wondered if the dragonfly wasn't caught in the web. Glad you let us know he wasn't. Your DOF has created some attractive blur in the background, and the light has caught the dragonfly perfectly.