I am going to go out on a limb here, and say low difference even with Amaterasu restrictions. Here is why:
Sasuke can easily use arrows on Tsunade, who has no hopes of dodging them with her speed. In fact, not a single person except Kabuto has dodged them, but then DSM Kabuto's speed most probably is of the highest caliber in the entire manga. She won't be able to dodge them with her prowess. Sasuke can easily launch two arrows in succession, which means that she will get pinned down by two of them. Regenerating from such damage is difficult. This will certainly leave her completely immobile or inert for some time, and Sasuke can easily grab her and crush her completely.
Another is simple grab. Sussano arms were quick enough to Grab Kabuto's snakes in his DSM mode. I can't see how they won't be able to grab Tsunade at all. Sasuke can also put Tsunade under a Genjutsu which was powerful enough to shroud Bee's - a perfect Jinchurichi - reasoning for a couple of seconds. Tsunade might have perfect chakra control, but it would still take her a few seconds to disturb her chakra to snap out of Sasuke's genjutsu control. This is enough time to finish her off with a grab or an arrow straight to her head, taking her scull out completely. This won't leave any room for regeneration.
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- This image proves that Sasuke can use a silhouetted form of an incomplete Sussano with an arm in fast movements. He can use simple Taijustu to momentarily paralyze her with any Chidori variants like senbon or Nagashi and let his arm do the trick. Sasuke was actually fast enough to easily evade A at v1 and Bee V1 as well with 3 Tomoe Sharingan, henceforth, Tsunade won't prove to be much of a challenge.
If she brings out Katsuya for the fight, Sasuke can incapacitate it with genjutsu and turn it against her. A few acid spits on Tsunade herself will only end the battle quicker, and Sasuke being Encased in this silhouetted form of incomplete Sussano can evade both easily, and proceed to act on this plan. He can also get completely air-borne and take out Tsunade's Summon with genjutsu this way as well. From here, he can also use this aforementioned form of Sussano to grab her and end the fight.
These are just a few tactics I have at the back of my head. It clearly shows that even if Amatersau is restricted, Sasuke is quite out of her league.