Lightning Cleaver says hello. A swift an precise slash can cut her hands/arms off though they would regrow with 100 Healing........
Not so good in CQC? He defeated Suigetsu in a sword fight low difficulty and Kisame said Suigetsu was a sword prodigy like none other.
The only reason this fight goes high-extreme difficulty for Darui is because Mytotic Regeneration and 100 Healings. Darui can keep attacking her with Laser Circus (which she cant dodge) from a distance. Each time she trys to engage in CQC he Water Walls + Lightning Wave/Black Panther's her which will do major damage and paralyzing her. These constant attacks will wear her down and the damage she sustains will make her healing jutsu I mentioned above kick into overdrive and eventually she will burn out of chakra.
Why will this work? Darui has high reserves of chakra. Ay already said normal shinobi can't use those Sage Tools because they suck you dry and people always die. Darui used two of them first and was already burning chakra by fighting on water and using other jutsu. When the drain kicked in from the first 2 he said it felt like he was about to die......... then goes on to use a third tool........ and still had enough chakra to get ready to fight Tobi when he came on the battlefield and take down Kakuzu (though we didn't see this its implied he beat him). So yes, I have no doubt Darui can last with her in a fight.
Assuming he can keep in proximity with her without getting harmed and actually out trade her, then yes, his swords play is looking like an efficient method here. I don't think that's the case though.
Twisting my words to give you another reason to bring out random points about Darui (such as his chakra reserves which play no part in this match) or counter other things in Tsunade's arsenal (which i never mentioned nor do i think are necessary for ther to win, such as Katsuyu) doesn't make your argument better.
I specifically typed: "(...) Not so good in CQC that he can overwhelm (...) her"; not that he isn't good in CQC. I have no reasons to think that he's better than her given the fact that he never fought any character who's actually superior to her in terms of close quarters.
I though her superiority in that regard was obvious, therefore when i typed that his arsenal isn't a threat i'm referring to his elemental jutsus. Whether she can dodge Laser Circus or not doesn't matter, that's not damaging beyhond repair.
She also doesn't have to be in his face to do damage. The 'kick on the floor no jutsu' extends her range to a few decent meters.
It won't kill him, but it certainly makes his job harder and keeps him at bay, possibly making him try a different approach and make her acquire more intel on his abilities to better deal with them.
Assuming she gets paralyzed, what good will that do? He cuts her like Orochimaru did, then he possibly gets blitzed and has his nervous system messed up or has to deal with a more cautios Tsunade who will be even harder to deal with. The more the fight goes on the better for her (like in Sakura and Chiyo vs Sasori).