Assuming that you choose your opponent as the target of divine reflection, the game it's a draw. You'll be at 0 life and your opponent at -1 life the next time state based actions are checked.
Rule that shows that damage from divine reflection is done (almost) at the same time that combat damage, and both are done before state based actions are checked:
615.5. Some prevention effects also include an additional effect, which may refer to the amount of damage that was prevented. The
prevention takes place at the time the original event would have
happened; the rest of the effect takes place immediately afterward.
Rule for the state based action of losing the game:
704.5a If a player has 0 or less life, he or she loses the game.
Rule saying that if two players lose the game at the same time, the game it's a draw:
104.4a If all the players remaining in a game lose simultaneously, the game is a draw.