Not to mention
1)She would not have gotten pass Hiruko if not for Granny Chiyo
2)The 3rd Kazekage puppet's weapons was damaged , the multiple poisen gas arms was sliced off by Chiyo , It's swords that flash out from it's arms were sliced off by Chiyo , and Chiyo stripped the puppet so bare that all it was able to do then was do the predictable iron sand , and since puppet jutsu relies on the element of surprise like things like "Hey , I did not know the puppet can do that , or that or that" , Chiyo made it much more easiear for Sakura to smash the 3rd Kazekage puppet
3)Chiyo had to save her from Sasori's surprise puppet attacks ( The ones that are the most deadly since you can't read it without expertise) via chakra threads , only when Chiyo rendered Sasori readable in his attacks did Sakura take over , and that is already taking away a puppet master greatest asset so basially , Sasori got inconvienced
4)Sasori had the ability to dodge Chiyo's finishing blow and finish them both
5)You said Sakura is the strongest Kunoichi alive , but what feats has she shown that surpasses Tsunade? She is merely a Tsunade Replica with Pink Hair and a Smaller Chest , And what about Mei , or Tsunade herself?