Being shot with an arrow is far, far from the worst way to be executed.
She isn't a spy for their enemies, and she told them so, but she's not surprised they didn't believe her. (The word of possible future troop movements she helped carry were for the battle refugees, not for an army. She didn't tell them that.)
It's just one arrow - that'll be easier for wherever she is next, probably, to not have holes in her clothing. It takes her through the throat.
(It's not the best way to be executed, but most aren't). She hopes everyone got away alright.
She dies against the post.
She wakes up.