Claw of the Conciliator, chapters 26 to 28
Severian finds Dorcas, Dr. Talos, Baldanders, and Jolenta, having been seperated from them after Baldanders' attack. Dr. Talos makes sure Severian is paid for his part in the play, fearful that he has powerful friends. Baldanders refuses to be alone with Severian so he can attempt to heal him with the Claw. Baldanders and Dr.Talos wish to depart alone, and they beat and threaten to kill Jolenta, who wants to go with them. Severian, Dorcas, and Jolenta take the road to Thrax.
Severian is then tempted by an undine, a giant who lives in the water, and hints are made of connections to Baldanders, He comes back when Dorcas calls him- Jolenta was bitten by a blood bat.
One thought really here: Dorcas. She's more alive than before, and acting as Severian's conscience. For example, without her, he'd have freely abandoned Jolenta.

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Comments
And it was good to see some life and action from Dorcas. I admired her jealousy in relation to Jolenta, wanting to make sure the latter knew that she and Severian were making love. (Yes, I am aware it's a form of voyeurism, but also, I think, a refreshing sign of determination on her part).
It's nice to see that Severian's reputation is affecting how others treat him, in that Baldanders suspected that Severian wanted to kill Baldanders despite Severian's protestations.
The whole meeting with the undine smacked of being a coincidence too far. The undine just happened to be trapped at this specific sandbar just as Severian was in the area? Someone set this up, and I don't know who.
Talos's cruelty towards Jolenta seemed rather out of character. And it seems that Jolenta is quite literally falling apart as a result of not being pampered.
Finally, Severian's emotions towards women continue to be all over the shop. The guy has the emotional maturity of a 13 year old in a harem. At the same time, he may confess to loving just about every woman he meets, but he seems to do just about nothing that's good or kind for them.
He made her, he can destroy her.
He is awful.
I see the encounter with this servant, or maiden, of Abaia as a test, not a coincidence.
Yes, he's just incredibly full of himself with just about no empathy for anyone else. A massively unsympathetic character.
It's clear that the undine wanted to meet Severian. The "coinincidence" part was that she was trapped at the exact time and place that Severian was passing. That's the part I was referring to.
If this wasn't a slow read, I would have ditched this book long ago. I cannot sympathize on any level with this guy. He isn't even an asshole. Assholes are useful.
I think what @Apocryphal means is that the undine came there specifically to meet Severian. She was not trapped there. I agree. It's another 'fulfilling the prophecy' move to show how Severian is Fate's darling.
LEXICON
Spahi: French term (from Turkish Sipahi) for cavalryman, and generally applied to their Algerian forces.
Agamite: According to the Lexicon Urthus, this is a sexless being. Found no other references to the term!