We're sorry that you're experiencing this situation, unfortunately we're quite limited in the help we can provide regarding the download of the game.
That aspect is handled by the provider from which you bought Monument Valley, you will need to reach out to them for further help.
We can start assisting you once the game is download and running on your device.
However here are a few verification you can do to see if it helps:
- Make sure you are connected to the Google Play or Itunes account with which you bought the game.
- Make sure you are on a stable and sufficient network connection (Wifi rather than mobile data)
If these verification do not improve the situation, please reach out to the store with which you bought the game's support team.