Thanks for the feedback!
You can rotate objects with Q and E. It's easier to rotate individual objects rather than larger constructs due to issues with Godot's physics that I encountered, but it's still possible. The controls are on the game's page, and in both the pause and options menus, but I probably should have had a separate page for it in the game.
Also I can't believe you thought it was polished, two thirds of the levels were made in the last 12 hours of the jam while I was horribly sleep deprived. I'm counting that as a win!