I can't say much as I'm not a knowledgeable Ayane player. But as a Christie player I'll say this. Her twirl can be thrown on reaction, and her twirl to low sweep can be throw punished on reaction. If you get caught in the 2k mixup, keep in mind that if you tech out of it in time she still had a +6 advantage.
Free Step Dodge
Awesmic
Awesmic
From there you have to guess whether to hold one of her two fastest strikes on wakeup (a 13 frame mid or an 11 frame jab), or anticipate another throw reset. The latter will most likely happen if you have a life lead. If you can read this, buffer a high crush on wakeup, such as 33p (or in your case as Ayane, 4p).
Awesmic
Potentially though, both Christie and Ayane are her worst possible matchups. Ayane's keepaway and ranged attacks when used properly prevent Rachel from getting in, and Christie's JAK mixups, quick strikes, and roll mixups can keep Rachel on the defensive, baiting mistakes.