CST or CT beats her. Animal path puts up a good fight. Asura path spams missiles at her. To kill Katsuyu, nothing is needed as this is Tsunade vs Pain. It is not a requirement to kill Katsuyu.
I think nobody but Naruto can win against all of the six paths at once, but Tsunade will definitely put on a good fight, I'll bet she can take down at least 3-4 paths.
Pain attacked after killing jiraiya (the only shinobi in the leaf who posses a threat to him) knowing who is hokage (he knew tsunade) but he didn't care and you saw the results of his attack.
would she put up a good fight (with the info jiraiya gave them) ?? definitely, she is a SANNIN but, it wouldn't have been better than what naruto did.
No counter to Chibaku Tensei.. However, she does have Will-Power and is extremely powerful and has Chakra Reserves that can compete with Nagato so she'll do quite well until Tendou does its thing.
She was about to face them without her Byakugou, in which she would have gotten fodderized.
But what about with byakugou?
Don't count her out so quickly:
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Enough speed to blitz Madara
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She is bisected by Madara's Susano'o sword, and not only survived it, broke the sword, and then recovered for an attack.
Don't forget a Path can be taken out by a powerful punch, either.
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And yes, up until that Path was revived it was beaten.
Katsuyu can counter most summons, acid meltd te dogs and any other summon. Tsunade's strength > Naruto's, so Tsunade could simply throw the summons as Naruto did.