Thanks a lot for playing! For the moment, I've added a short description to the page indicating how to control the rotation. Hopefully, that'll help other players get a handle on the controls.
I actually ended up figuring out how to rotate (it isn't too hard), but I do think that being able to rotate even when moving the mouse could work a bit better. Pausing to rotate felt a little clunky, but the other mechanics were well-implemented.