I had a look at your account and I don’t see an active monthly membership at this time. That is the reason why your avatar won’t move in the game.
I’ll expand on what my colleague said…
We recently changed our trial system. Now, if you have not yet subscribed, you’ll be able to ride for up to 25km every month for free. You can use these kilometers for anything you’d like, from workouts to races to free riding. The kilometers are able to be used at any time during the month, but they will not roll over to the next month. That means at the beginning every month, you’ll be able to try Zwift out again.
However, once those 25km are used up, unless you have a monthly membership, your avatar won’t move in the game until next month, when the 25km refreshes and is available for your use again.
Furthermore, when you create a Zwift account through the iOS platform, you have to subscribe to a membership using Apple iTunes in order to unlock the 7 day free trial. However, if you decide you don’t want to keep the monthly membership, you can cancel any time. For Zwift memberships subscribed via iTunes, cancellations must also be done via iTunes.
You can refer to this article from our Zwift Knowledge base, and scroll down to the “Signing up through the game (iOS)” portion for instructions on how to activate your membership and free trial.