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the Steel Queen has grown sick of the Grand Couterier's shenanigans. She puts on Junketsu and sets out to put the spoiled blondie out of commission for good. Can she succeed?

Round 1: Naked Beach Satsuki vs Nui as we saw in Episode 21. No interruptions from the Elite 4 or covers.

http://static.comicvine.com/uploads/original/4/47703/3742679-0288350499-0945f.gif

Round 2: Life Fiber Override Kamui Junketsu Satsuki vs Nui Harime
http://25.media.tumblr.com/b85548c537e4cc996c5a65c0a8ae5430/tumblr_mw4tkiYAf91qfbz1so1_500.gif
VS
http://media-cache-ec0.pinimg.com/originals/5f/c1/a3/5fc1a3a918e9f29c8b5531d2c6caf03b.jpg
Round 3: Junketsu with Senketesu/Matoi Blood vs Psycho Nui with new arms as seen at the end of Episode 22

http://img4.wikia.nocookie.net/__cb20140314225933/kill-la-kill/images/thumb/2/20/Ryuko_and_satsuki.png/500px-Ryuko_and_satsuki.png
VS
http://25.media.tumblr.com/e367fd6fb9bd5f9fdf3b3fe715c97f03/tumblr_n2ebjxZrUf1sphpp6o4_500.png

Continued
(Ran out of Edit time)

Bonus
Satsuki with Senketsu vs Nui Harime
http://24.media.tumblr.com/8da917f80c3b91ad5befa1564f48facc/tumblr_n26ljhTtal1rlwvamo1_250.png
VS
http://img2.wikia.nocookie.net/__cb20140305034602/kill-la-kill/images/c/c1/Nui_Harime_body.png

===
Which does Satsuki win? Does she have a chance at all? Will Nui live to troll on and on?

Satsuki because Satsuki.

1. Nui, obviously.
2. Probably still Nui.
3. MAYBE Satsuki, but after a difficult fight.. Nui was able to hold off Ryuko in this form, and Ryuko is IMHO unarguably more powerful than Satsuki.
4. Nui.