The game seems as if it should have a top-down collision (just walls & enemies) but damage often comes from colliding with the floor. Also in this style of environment traversing, my suggestion would be to use steering/turning movement instead of strafing left/right.
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Hmm, shouldn't take any damage from the ground as there is nothing that would trigger it, but the bounding box of the "character" might not correspond with the animation of it, so it may seem sometimes that there is a hit where it shouldn't have been. Maybe I'll think of way how to make those things more precise in the next update.
Will definitely try out how the controls feel with the turning instead of strafing.