His poison takes 3 days to kill but it takes a quick timeframe to incap.
His poison is
on his weapons which need to touch Carrot, who is known inverse to be a ridiculous acrobatic who dodges a lot of shit even in base. From her feats, she's more athletic than the people who easily moved around his weapons. Look at
this if you need proof.
Other than the ones on his weapons (which can be destroyed via AOE lightning like
Electrical Luna),
he has the poison gas which is negged by... holding your breath.
The deadliest poison is the one with the Iron Sand, which is restricted.
In other words, poison barely does much.
Also, most of the poison weapon conduits are metal, which will serve as conductors for her electricity attacks (things she has
manipulated in canon) And Carrot has gauntlets which will block out the poison from Sasori, so unless it's corrosive (which it isn't), then it gets negged by her gauntlets covering her hands and electrocuting him through blades and such.
Her superior senses via her biology as part animal plus her ridiculous sight helps against poison as well.
AOE lightning handles this, and his poison is trash without the iron sand.
The poison through the hundred puppets falls under the stuff above.
Also, she has superior AP in base without electro. Add that with her senses and agility, she dogs all of his puppets.
If it's not obvious, I vote Carrot