Have you added the network from the D-Link to the Eye-Fi Card? If so you should see it listed as a network in Eye-Fi Center under where you add networks.
What model Eye-Fi Card do you have? If it is one of the X2 models you can simplify the setup by using Direct Mode
and not needing the router.
An Eye-Fi Card log will help us see what the card is doing. Please try to take five pictures on that setup and give it about 5 minutes to try to transfer. Then plug the Eye-Fi Card into the computer and click on the Eye-Fi Helper icon and select get card log. Then post the log here.
You've got to find what you love.
-Steve Jobs 1955-2011