It was indeed the power supply. Thanks for getting me to look 1" further up from where I was to notice it had plugs and screws there too.
Now to find a new power supply!
If the camera is still under warranty, D-Link will send you a new power supply for free. I've had to go through that.
This one is tough to replace, unfortunately, because the 90-degree bend in the plug at the camera end is required for it to sit underneath the weatherproof back cover. Before I remembered that my dead power supply was under warranty, I looked for a generic replacement. Easy to find one that would power the camera, but I never did find one with a 90-degree plug so I could put the back cover back on. My cameras are all outside so that was a must. Fortunately, as I said, I remembered I still had warranty coverage and D-Link sent me a new OEM power supply.