It's been several years since the Aiel War, and this is several years before Rand is discovered.  The White Tower is safe.<br/><br/>If I remember from the books correctly, the Warders have their own wing inside the Tower to be close to the sisters.  I would assume that trainees and unbonded would reside in the barracks among the Tower Guard and Valdar.<br/><br/>Someone can correct me if I'm not remember correctly.