I think this concept has a lot of potential. Others have already pointed out that there isn't much of a reason to rotate the room when clearing out enemies. I'd suggest having enemies that can only attack in certain directions, or do more damage when attacking adjacent walls or something like that. Simple rules that when combined create complex decisions could make the concept work better. I'm sure you already have plenty of ideas that you'd like to try out as well.
I think the game could also benefit from more audio cues. Things like a ticking noise for the last few seconds of the countdown to a random rotation or a noise when the rotation cooldown ends could make gameplay just feel better.
I had a lot of fun playing this game! I'd like to play it again in the future if you continue working on it after the jam!