The one slow (or sometimes stuck) enemy wasn't too much of a challenge to avoid, but I found when it did get me, sometimes the collisions didn't seem to register a "death". There was a point where I was blocked into a room by the enemy, and I couldn't push past it.
Like Nosioce said, it is possible to close both doors at the same time. The main two beginning doors never re-open if you do this and leave the room.