I like this idea a lot. But the game is very unforgiving to mistakes. I had no idea how to get back into an area where I could control the ship more easily. Also, it seems like one of the types of enemies can pull me out of the control area?
More affordances/juice can really help the player intuitively understand when they are hit, when they hit something, and the state of the ship.
Also, I died a few times after getting launched in a direction (probably from my own lack of control outside the zone) and was going way faster than I could reason about. I'd recommend a cap on player speed.