The study of weak radiative decays of charmed mesons is still in its developing stage. The weak decays of D mesons pose challenges due to significant final-state interactions. However, decays mediated by \(c \rightarrow u \gamma \) transitions can be affected by potential contributions coming from the non-minimal supersymmetry, which is a New Physics (NP) scenario. The ratio of branching fractions for radiative \(D^{0}\) decays could be violated already in the SM framework, while a similar ratio for \(D_{s}^{+}\) radiative decays offers much better prospects for new physics. We present herein the first sensitivity study of the radiative charm decays \(D_{s}^{+}\rightarrow \rho ^+ \gamma \) and \(D_{s}^{+} \rightarrow K^{*+} \gamma \) with simulated data collected by the Belle experiment.