Honestly, somebody tell me what does Jiraiya has to kill Tsunade. If Jiraiya catches Tsunade with Frog Genjutsu, Tsunade has two ways to wake up, first being disrupting her chakra with her perfect control. Her second way, would be Katsuyu disrupting the chakra. It has already been shown that two different individuals trapped in genjutsu can help each other escape it (seen on the fight of Sasuke and Itachi vs SM Kabuto)
it took many attacks from madara and stabs to make Tsunade run out of Byakugou, Jiraiya won't last enough agaisn't Byakugou Tsunade.
btw: frog summons won't make a difference, a small object as Tsunade punching a big object as those frog summons shall be easy.
and better the frog sages, not use their tongues, because what happened to oro might happen to them.
If I'm wrong, proof me wrong.
Tsunade is not the one that should be messed around with.
Between the Sannins the only one clearly on a different level is Orochimaru and only thanks to edo, but without it, I'm sure Tsunade and Jiraiya might mop the floor with him.