Are you sure that the drug is pure? It could be due to an impurity phase? To a small amount of an amorphous component? Have you tried to repeat the measurement? Or to perform an heating cycle, then return to room temperature and heat again the sample? This could maybe help to clarify your doubts..
If your DSC equipment is clean and calibrated, in fact this signal is from your sample.
Exothermic phenomena in pure samples are related to material crystallization, polymorphic conversion or adsorption. Thus, only XRD can answer your question. You must know the diffraction pattern of the raw sample, perform the heating, collect the residue immediately after the exothermic phenomenon and perform the XRD. By comparing the peaks and by refining the measurements, you will know the corresponding transition.
What about the sample description? Is that powder or granules? Not enough sample could be the reason why your peak is small, or maybe you can check calibration or must do baseline check for your DSC. Is there any reference standard for your sample? If possible you can compare thermal profile with your sample