I really like this, probably my favorite entry so far theme wise because it really makes rotation a core mechanic (and does so well). When I noticed I couldn't progress without using the fact that rotation a room also rotates my character I had a really nice "aha"-moment.
I do feel like the powerups aren't self explanatory enough (sorry, I didn't read all the text), and I managed to accidentally move myself out of the stage. I also think the jump is too floaty, and in the level I played I didn't actually need to rotate all that much to move further up. But I think there is real potential here!