Originally Posted by Hawk
Jaime was definitely weak and chained, but Brienne is also a bad-ass (remember she won a Melee against all of Renly's knights, including Loras Tyrell, to win a spot on Renly's kingsguard in the first place). Jaime at full strength and with no restraints would probably take her as he is one of the best, but in his current condition he had no shot.
I hated that scene. This isn't really a spoiler but just in case.