Aww man, you were so close! It's a bit of a cheap puzzle on my part - you're supposed to shoot the enemies before going through the door. If you go through and the door shuts you're basically dead already! Thanks so much for playing and thanks for your suggestions - I'll give your game a shot when I get a chance!
Heyhey, I came back with the new knowledge and finally beat it haha! The G.A.M.E said something about having already died 4 times already- but I think I might have misread the dialogue- it got me wondering though: was that actually a wincount of players beating the game? :O Again though, nice job! Only other thing I'd add now is a sprint button may have been nice (Just because I wanted to keep sprinting back to where I'd died haha)