There is some potential for an interesting game here, but the technical execution was somewhat buggy. Changing the direction of your arrow is a good idea for a mechanic, but I didn't feel the need to use it to progress through the levels, it was easy enough to just dodge the enemies until I got stuck inside a wall and was not able to continue.
Also it seems that after a game over and restarting at the beginning, the first room transition was much harder to activate, and the second one would not trigger at all.