Alice WAS god all along, but can only alter things subconsciously as she is unaware of her own divinity.
B.O.R. was mentioned before, as a prototype robot that was being worked on by one of Alice's friends. Although him coming to save Alice is very out of the blue, his actual existence and motive for saving Alice are there.
Alice, while being carried off, says something along the lines of "this my 15th... 17th... random save? I lost count." Alice, having been Born Lucky, is used to random saves like this.
The heroes are trapped in an obviously inescapable situation... And then "Captain Deus Ex Manchina" bursts through the wall.
Zig Zagged: The eagle immediately drops Alice back onto the cliff, and she complains that she was hoping for something miraculous to happen, but it didn't. Before Evulz can kill Alice, the eagle comes by and grabs her again, apologizing for poor grip the first time around.
Dr. Evulz has Alice hanging on a cliff, and he sends her plummeting to her doom.
Alternatively, Alice defeats Dr. Evulz in even combat.
Enforced: "Well, I've written myself into a corner... What to do, what to do... Oh I know! I'll write that B.O.R. will come in and save her!"
"It's a miracle! You don't see this happen everyday!"
Alice, or one of her True Companions, is able to invokeDeus ex Machinas at will because they're a Reality Warper, the use of Functional Magic, Super Luck, or some other means. This leads to them breezing through their adventure. When a character is in danger without their Machina'ing friend, they are killed or severely injured because they don't know how to handle themselves without such story-breaking help.
The reality warper friend is also a Friendly Enemy and thinks up Evil Plans for fun. If something bad happens to their playmates (such as lossing story-breaking help) they will deliberately sabotage their own plan with a random out-of-nowhere miracle so the game can continue.
Played for Laughs: Whilst rescuing her, the Eagle takes a crap and Alice is shown with a small pile of bird poop on her head.
Played for Drama: Alice realizes that because of the increasingly unlikely outcomes of events, she is being controlled by some higher power, and has no free will or a life of her own.