I'm gonna go out on a limb and guess that Mona was talking about the "figure 8" or "controlled head" kokyu nage. If you still wonder which one it is...they attack shomen, you slide attacking arm side "behind" them, cut at the elbow turning them so you are both facing the same direction, with nage behind uke. The hand that did not control/cut the elbow palms the side of ukes face pulling it against the chest of nage. Throw is completed by "unwinding" with a back "c-step" by the leg of the same side of the head controlling hand?
Ok...IF that's the one she's talking about, I MUCH prefer IRIMI as opposed to that KOKYU. To me the irimi feels like I'm in much more control of the situation, and I don't feel like I'm going to twist uke's head off like a the top of a powerade bottle.