Silence.
Well, it's probably a lot to expect of them to eagerly shout answers to the question when she just got visibly irritated at the first person to ask a question. Too bad about the first person to ask a question asking a stupid question.
"If Keltham gets a headband," she says, "this scaffold of ours will collapse immediately. Therefore significant efforts have been made to convince him that throwing intelligence enhancement at people in the middle of the process of learning Law is not a good idea, that it is destabilizing to them and causes rapid personality change of a sort Keltham prefers not to cause, in people he's had the chance to grow attached to.
You will have access to Fox's Cunning and Owl's Wisdom, as you require them; you may, in later stages of the project, have headbands you wear when Keltham isn't around, though it's not actually a good idea to develop habits of thought you won't be able to employ in his presence.
Keltham is no more intelligent than most of you, and no more wise. What you need to surpass him is not actually intelligence, or wisdom, though both help; it is the habits of mind that dath ilan trains even into their average unremarkable children, and then the habits of mind that dath ilan offers to the best of its children.
One of those habits of mind is asking lots of questions and challenging one's teachers, all the time. At the moment," to Willa specifically, "you might be glad that dath ilan has such a habit, as it is presently saving you a great deal of pain. But in the long run, I think, you will come to despise this fact about dath ilan, because it means you have to ask Keltham questions and challenge his answers all the time, and at no point will you have the slightest affordance to ask a question that is stupid or ill-considered or premised on something you didn't even notice you believed."