I was moving the fairies around for a little while without touching the supposed "end turn" button because the button icon looked like it would take me back to the menu instead. Then, when I tried clicking on that button to see if the game would continue, and I realized that it was the end turn button when the light finally moved. I don't remember whether I moved a fairy or not after this, but immediately after I clicked the end turn button again and got the enemy's turn again, the light never moved, and it was never my turn again.
I hope this is detailed enough to understand what went wrong!