When Rand is in Caemlyn in the first book (tEotW), he meets the Andoran royals for the first time. Elaida Sedai, one of the Queen's foremost advisors, is asking him awkward questions, apparently hoping that Morgase will order him kept in custody. Then a Foretelling comes on her. Having been commanded by Morgase to speak the truth clearly (rather than Aes Sedai-ishly), she says (p.614):
"This I Foretell," Elaida replied, "and swear under the Light that I can say no clearer. From this day Andor marches toward pain and division. The Shadow has yet to darken to its blackest, and I cannot see if the Light will come after. Where the world has wept one tear, it will weep thousands. This I Foretell." [...] Elaida spoke again, barely moving her lips, so softly that [Rand] could barely hear her less than an arm's length away. "This, too, I Foretell. Pain and division come to the whole world, and this man stands at the heart of it. I obey the Queen," she whispered, "and speak it clearly."
So why doesn't she say the last bit aloud? If she had, Rand would surely have been thrown into a cell, and she could have questioned him further at her leisure. Instead Morgase lets him go, against Elaida's advice, and she never meets him again (at least as far as book 10). Does she fear that Morgase wouldn't let her, Elaida, question him if he was captured? She does later go to Master Gill's tavern (in person, if I remember rightly), but too late to catch him. Or is this part of some Aes Sedai scheme only revealed later?
Thanks in advance for any answers!