You don't have to watch the enemy move. While in a game go to Game > Game Options> and uncheck "Show enemy moves." You can also check "No pause after enemy moves."
You will still have to wait while the CPU thinks and completes it's moves, but because the game does not then have to show you each and every move it's making at a speed that a human can comprehend, your wait time will be greatly reduced.
Know you posted this issue quite some time ago, but I hope this helps!