I suppose there should not be any kind of problem while interfacing Arduino Wifi Shield with Arduino DUE board. I am slight in dilemma since http://arduino.cc/en/Guide/ArduinoWiFiShield explicitly doesn't states whether it can be interfaced or not. Whereas in case of Normal Uno they have mentioned it can be interfaced easily. If anyone has configured it share your opinion so that I can decide whether to buy it or not. Thank you for your valuable experience in advance.
That is the "Guide", this is the page for the Wifi shield : http://arduino.cc/en/Main/ArduinoWiFiShield It does say : Arduino Due compatible
i recently picked one up and can confirm it will work with the due. the only thing about it that bothered me was the SPI header connection to the DUE did not have long pins that extended out the top of the board to allow for sharing of the due hardware SPI through the wifi shield.