The relationship between the parameter of symmetric broadening of the glass-transition relaxation process and the structure of aramid-fiber-reinforced nylon-66 microcomposites is investigated in this article. The approach is based on a previously derived model that sets a quantitative interrelation between the Cole-Cole parameter alpha, the relaxation time, and the fractal dimension of a mobile polymer segment. The microcomposite, the dielectric response of which reflects the transcrystallinity effects, indeed exhibits significantly different values, such as higher Kirkwood, correlation factor and alpha exponent values, in comparison with the control materials, and this indicates its different crystalline morphology and perhaps lower order in the amorphous phase. However, at this stage, it is still difficult to establish a quantitative relationship with the polymer chain dynamics.