To understand the mechanical behaviour of anisotropic rocks is a critical thing for the accurate prediction of stress distribution in the subsurface, mainly for drilling and reservoir engineering. Linear elastic models of stress distribution often fail to capture the non -linear deformation characteristics that are mainly observed in sedimentary and fractured rocks. This study presents a novel approach for modelling the anisotropic rock deformation by using a hyperbolic stress-strain relationship that effectively accounts for the non-linear directional-dependent mechanical behaviour of rock mass, including bedding planes and fracture-induced anisotropy. Numerical simulation clearly indicates that the hyperbolic model accurately predicts the stress -strain conditions under various loading conditions, which provides more realistic estimates for wellbore stability, fracture propagation and in-situ shear stress conditions. Numerical simulation has been performed using a hyperbolic model to generate stress-strain curves along with different orientations, which enables the evaluation of tangential and radial stress around the wellbore. The proposed methodology incorporates orientation-dependent parameters to represent the bedding plane and fracture-induced anisotropy by using literature-based rock properties, which allow robust geomechanical analysis without requiring original laboratory experiments, that offer a practical tool for wellbore design, drilling risk mitigation and reservoir management, mud selection for drilling, and it also serves as a foundation for future experimental and field-based validation studies. The study highlights its novelty by introducing a hyperbolic stress-strain model that is capable of anisotropic rock deformation more accurately than the conventional linear model.