You might want to take a look at the Desktop Boards — Shield Testing Report for Intel® Galileo Board and Intel® Edison Board. There are some notes for the Arduino TFT screen. According to those notes, this display is not compatible with Edison but I invite you to check the notes by yourself. They are helpful.
Alternatively, I recommend you to check the following threads. There are discussions about TFT screens for Edison. You might find them useful:
- Support for the Adafruit 2.8" TFT display for Arduino Edison
- Looking for Edison compatible TFT display