Excitation in quantum dots is a hotly pursued phenomenon. Realizing it, we investigate the excitation kinetics of a repulsive impurity doped quantum dot as the dopant is propagating. Such a propagation is assumed to be important because of its close connection with impurity drift in nanodevices. The problem has been made more realistic by considering the dopant propagation to be damped. For simplicity, we have considered an inherently linear propagation of the dopant, and the impurity potential has been assumed to have a Gaussian nature. The damping strength and the initial spatial stretch of the dopant have been found to fabricate the said kinetics in a delicate way. However, in the overdamped region, we find attainment of stabilization in the excitation rate invariably. Determination of average accelerating force imparted onto the propagating dopant seems to consolidate the findings. The present investigation is believed to provide some useful insight into the phenomenon of damping that has potential importance in nanoelectronic applications.