We theoretically examine a topological nanospaser that is optically pumped using an ultra-fast circularly-polarized pulse. The spasing system consists of a
silver nanospheroid, which supports surface plasmon excitations, and a transition metal dichalcogenide (TMDC) monolayer nanoflake. The silver nanospheroid screens the incoming pulse and creates a non-uniform spatial distribution of electron excitations in the TMDC nanoflake. These excitations decay into the localized surface plasmons, which can be of two types with the corresponding magnetic quantum number $\pm 1$. The amount and the type of the generated surface plasmons depend on the intensity of the optical pulse. For small pulse amplitude, 
only one plasmonic mode is predominantly generated, resulting in far-field elliptically polarized radiation. For large amplitude of the optical pulse, both plasmonic modes are generated in almost the same amount, resulting in linearly polarized far-field radiation.