They say to each other "It was Tsunade that trained her to be like this. Tsunade Tsunade Tsunade."
But they are wrong -- it was not Tsunade, or rather not just Tsunade.
They forget Chiyo.
Tsunade was her idol to start, her role model later; that is true. She wanted to be just like Tsunade -- and when the time came, and she went to Sunagakure she wanted to prove to Chiyo that Tsunade was not necessarily bad, nor evil.
But when she and she were chasing Sasori, and met him in the middle of that cave, and she let Chiyo control her -- control her, with actual strings like the invisible ones that Sasuke and Naruto held her by. She was independent, and she had trained under Tsunade to escape those very same strings, but yet she trusted Chiyo not to move her wrong, much like she trusted Naruto and Sasuke not to move her wrong. Trusted and put complete faith in them, and she turned out to be right.
Maybe she turned out to be wrong about Sasuke-kun by the end, but that didn't matter.
She learned from her, in that cave, that strings can lead you to where you want to be, if you just let go.