I reread Brienne's last POV last night... If you want my wild opinion... she's dead. Ned, Catelyn, Robb, Syrio, Visaerys, Drogo, Oberyn, Tywin, and others all could have used a very timely plot twist to save their hides... they all died. Only Tyrion, Jon, and Dany have had death postponed... okay Joff, Cersei, Sansa, Arya, Bran, might have all been pulled from the brink also, but Martin has no mercy for his characters. He does not seem intent on a Hollywood ending.
What could Brienne possibly say to prevent her death (and Pod's and Hyle's)? She does not know about Bran and Rickon, she's dumbfounded as to Sansa's whereabouts, and she thinks Arya jumped on a ship. That's not a lot of good intel to please the Hangwoman. Brienne does not believe in R'hllor nor will claiming love for Renly or Jaime appease Stoneheart.
I'd like to think that Brienne still has a part to play, but she's in an impossible position. She has three broken ribs, a broken arm, half her face is gone, and she's bound securely and swinging from a noose... MacGuyver and James Bond might get out of that predicament, but not Brienne.
I'd like to think that Brienne can help herself, Pod, and Jaime find redemption and fulfillment. Only two things can save Brienne now... that word that she screams or a rescue. We've discussed the word and concluded that we don't really know what she screams. As to a rescue, who would do it? Jaime, the Knight of the Mouse, Sandor, Ser Kevan, or Lord Tarly seem to be the only ones remotely capable of this. They are all in the vicinity, some of them are looking for Beric's men, some of them could be looking for Brienne, and Sandor might be trying to clear his name. It's all guesswork... sorry I don't have anything really intriuging to add.