It's a little surprising; normally she is permitted to enter random forests of her own will. But not that much.
She starts walking, looking for whatever inane plot she will be required to participate in/thwart this time.
Eventually she sees a cottage. She makes for that--random houses in the woods are prime weird shit locales.
She knocks on the door. "Excuse me! I don't know what's going on here but I'd rather get it over with sooner rather than later so I can go home!"
"I'm not allowed to tell you my name but I can eat your food. If you give me some you can rescind my orders and we can both be out of here before Yellow even gets back."
"I don't know what either of those things are and it doesn't matter as long as they're food and from the mortal world and come out of your hand."
Promise takes it and swallows it whole. She shivers. "Say, 'I rescind all your orders'."
"Thank you," says Promise, suddenly relaxing all over. "I'm going to pack a few things, burn this place to the ground, find someplace relatively sheltered to make you a gate, and fly away. Just a minute." She ducks into a side room of the house and comes out soon after with a bag.
"He wasn't as bad as my last master. I had leftover orders when Yellow bought me or I would have been long gone." Promise leads Little Bird out of the house. She looks over her shoulder and the entire structure turns into smoldering slag, collapsing on itself slowly.
"Do not try to find my old master. I can get you a gate home. You'll be safe back in the mortal world."
"I mean, yes, sure, I'm not going to go charging off half-cocked, but I've dealt with things that smart people don't tangle with before. Not voluntarily, usually, but I did and came out of it alright. If there's someone consistently doing bad things to people I'm not going to give up without knowing anything about the situation."
"He collects sorcerers. Most of them are psychologically loyal, his orders are airtight, and you are mortal. Follow me."
Promise flies - "Run, at least as long as you can, Yellow may head back to his house at any moment and we want a wide search radius, he flies faster than I do and definitely faster than you run."
When Daphne needs to slow down, they slow down, and Promise finds a large shrub. "Can you hide in there? For a few days, if necessary - I can leave you safe water, I can feed you a little of what I have before I go, that's safe since I'm already your vassal."
"It shouldn't be a week. I'm going to make you a gate, it may settle right away in which case the question is moot. Can you describe a good place to put you? In geographical terms."
"Okay. Here's hoping." Promise makes subtle marks in the ground. "I'll make it between here and here. It'll only work going this direction." And then: "There -" She throws a rock. It disappears midair. "Go on through, it settled."
...Of course, she picked the location based on believing that she was going to be a few days before she got there, which means that she now has to find a way to get her car back to campus from New Jersey. Oh well, better than lying in a shrub for days.