I'm going out on a limb here to go another direction with the problem, and say I think it IS a focus issue, not a motion issue. Look at her leg, the one extended out front. The shoe is a little blurry, and her hands are a bit blurred, but the seam in the cloth is sharp as it can be, and you have some texture in the cloth. With camera shake it would not be.
So given the possibility that the picture is actually front-focused, what do we do about it?
You mentioned that your focus is better when close, but standing back gives you more issues. This leads me to wonder if the lens is focusing where you think it's focusing. Also, while the manual doesn't say so, some of the modes (such as Portrait or Child) may affect the focus mode, even forcing the camera to focus on the closest object it finds in any of its AF sensors. Also, the different focus modes behave differently.
In AF-S, a half-press on the shutter focuses, and holds as long as you hold the half-press. You also need to make sure the intended sensor is the one in use, as it's not always the center; any of the sensors can be selected as the focus point for AF-S. (I may be mistaken about that with the 3200, but I know it was the case on my D5000 and is so on my D7000. The selected focus point illuminates on the initial half-press to let me know.) So say the bottom center sensor was live instead of the center or one of the uppers. This photo would then be "correctly" focused by the sensor that was over her leg.
In AF-C the camera probably uses the center focus sensor, but it may have an option of deciding for itself after comparing all the sensors. But the focus can change before exposure, which is what the C means, after all. Continuous. So you half-press, get a focus, then move the camera to compose your frame and the camera then re-focuses on whatever fall under that sensor.
So for a portrait like this, and still subjects in general, make sure AF mode is AF-S, make sure the sensor in use is the one you expect, and put that sensor over the primary point of interest, half-press, compose your frame while holding the half-press, and trip when ready.