Considering how Jaime played Brienne for a fool, leaving her in tears in Winterfell as he rode off to reunite with sister/lover Cersei Lannister only to die after a ton of bricks fell on both of them, her decision not to completely eviscerate him in the book was noble. None of this would have happened if she’d just given Tormund a chance, but love is blind and well, it’s a TV show. In case you're wondering, here's what she actually wrote.
Sure, Jaime did a few nice things during his lifetime, but the North (aka everyone who watched Game of Thrones from Season 1) remembers him pushing a kid out a window, blindly following his insane sister, killing Alton Lannister and threatening Edmure’s son. What we’re saying is, Jaime certainly lived up to his legacy as “stupidest Lannister.”
He may not have gotten read for filth during Game of Thrones’ television run, but fans can take some solace in knowing that Cersei and Jaime never got to rule the Seven Kingdoms side-by-side. That, and he died as he lived: A love-sick idiot.