Here is the battle log, as you can see Adventuro is killed with lifesaving block in hand. BATTLE LOG: Scenario=Stafford Library,Room=XORR (zazu27),RoomID=664433,Msg=The active player is now Gary BATTLE LOG: Player=Gary,Scenario=Stafford Library,Room=XORR (zazu27),RoomID=664433,Event=PlayAction,Action=Reaching Swing,Instigator=Alamander,Targets=Adventuro BATTLE LOG: Player=Gary,Scenario=Stafford Library,Room=XORR (zazu27),RoomID=664433,Event=TriggerFail,Trigger=Mail,TriggeringActor=Adventuro,AffectedActors=,TriggerType=PreDamage,TriggerLocation=Hand BATTLE LOG: Scenario=Stafford Library,Room=XORR (zazu27),RoomID=664433,Msg=Adventuro took 5 damage BATTLE LOG: Scenario=Stafford Library,Room=XORR (zazu27),RoomID=664433,Msg=Adventuro died BATTLE LOG: Scenario=Stafford Library,Room=XORR (zazu27),RoomID=664433,Group=Adventuro,Event=Discard,Card=Backbiting Strike BATTLE LOG: Scenario=Stafford Library,Room=XORR (zazu27),RoomID=664433,Group=Adventuro,Event=Discard,Card=Lunging Hack BATTLE LOG: Scenario=Stafford Library,Room=XORR (zazu27),RoomID=664433,Group=Adventuro,Event=Discard,Card=Walk BATTLE LOG: Scenario=Stafford Library,Room=XORR (zazu27),RoomID=664433,Group=Adventuro,Event=Discard,Card=Mail BATTLE LOG: Scenario=Stafford Library,Room=XORR (zazu27),RoomID=664433,Group=Adventuro,Event=Discard,Card=Lifesaving Block BATTLE LOG: Scenario=Stafford Library,Room=XORR (zazu27),RoomID=664433,Msg=The active player is now zazu27
The card doesn't state anything about facing target card text: Block Any: Only triggers if the damage would kill you. Draw a card.
In case this isn't clear: early in the tutorial, Gary said you could hover your mouse over any underlined text or icon to get a tooltip explaining it. The Block tooltip explains facing. Also, you can see your facing highlit in light/dark green by mousing over your character.