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To build coherent 1D or multi-D stellar structure and evolution models, we must systematically evaluate the turbulent transport of momentum and matter induced by hydrodynamical instabilities of radial and latitudinal differential rotation in stably stratified thermally diffusive stellar radiation zones. On this work, we investigate vertical shear instabilities in these areas. The complete Coriolis acceleration with the whole rotation vector at a normal latitude is taken into account. We formulate the issue by contemplating a canonical shear move with a hyperbolic-tangent profile. We perform linear stability analysis on this base circulate using each numerical and asymptotic Wentzel-Kramers-Brillouin-Jeffreys (WKBJ) strategies. Two kinds of instabilities are identified and explored: inflectional instability, which happens in the presence of an inflection point in shear flow, and inertial instability as a result of an imbalance between the centrifugal acceleration and stress gradient. 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