We report a study of the processes of $e^+e^-\to K^+ (D_s^- D^{0} + D^{-}_s D^0)e^+e^-$ annihilation samples collected with the BESIII detector operating at BEPCII at five center-of-mass energies ranging from 4.628 to 4.698 GeV with a total integrated luminosity of 3.7 fb. An excess over the known contributions of the conventional charmed mesons is observed near the and mass thresholds in the recoil-mass spectrum for events collected at GeV. The structure matches a mass-dependent-width Breit-Wigner line shape, whose pole mass and width are determined as MeV/ and MeV, respectively. The first uncertainties are statistical and the second are systematic. The significance of the resonance hypothesis is estimated to be 5.3 over the contributions only from the conventional charmed mesons. This is the first candidate of the charged hidden-charm tetraquark with strangeness, decaying into and . However, the properties of the excess need further exploration with more statistics.

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