I really love the idea of this. It is very Portal-esque, and while the idea of spinning the room doesn't have as much juice as portals IMO, it does give a different way of thinking to solve puzzles. The puzzles you created here weren't mind-blowing, but they used those mechanics well.
Unfortunately, when I pressed Q and E it only sometimes rotated the room. I would mash repeatedly and hope that the room would rotate. Eventually, it did. When I got to the first timed challenge of the game, I found myself unable to complete it through no fault of my own.
I would also add that it would help people be less disoriented if the rooms had some indicator of which way is forward and backward, so we could always tell which way it rotates.