The issue is not THAT there is shadow, it is WHERE it is.
If your camera position and angle of view is intentional then I apologize for opening my mouth, but from everything I've learned, seen and done it appears as if the camera position is far too low. You are not only getting a much larger more pronounced shadow under the chin from this but you are also looking right up her nostrils, and again, my understanding about such things is that we want to avoid that type of angle and camera position.
As far as shadows go, yes they are most important and should be there but look at the face, cheek and nose. There is the slightest hint of a shadow off the nostril on the shadow side of the face but as far as portrait lighting goes (coming from someone that has recently learned huge amounts about this) I think you need to use your modeling lights to really SEE the highlights and shadows, moving the lights around to see how your shadows change.
Study how when the see-saw effect works. When the light goes up the shadow comes down, when the light comes down the shadow goes up. Same with left to right movement. Move a light to the left and the shadow moves to the right and vice versa.
Do the same with your fill light so you can see how it fills in the shadows, observing how moving your fill light up or down will also change how the shadows are filled in under the eyes, nose, chin and neck.
Ideally your fill should be on the lens' horizontal and vertical axis. This is not always possible but you can usually get pretty close without having your own body blocking the light.
