Monte Carlo simulations were employed to characterize the magnetic response at low temperatures of a system consisting of spherical, monodisperse iron nanoparticles (NPs) embedded in a 2D non-magnetic solid matrix with dimensions ​ and ​​. The relaxation of the magnetic NP moments is governed by coherent domain rotation across an energy barrier defined by intrinsic uniaxial anisotropy, dipolar interactions, and the magnetic field—referred to as Néel relaxation. The system energy is modeled using the Stoner-Wohlfarth model, which includes dipolar interactions between the NPs. Both the anisotropy axis and the external magnetic field are aligned parallel to the x-axis. The results reveal that shape anisotropy, introduced by dipolar interactions and aspect ratio , significantly influences the hysteresis loops, and competes with intrinsic NP anisotropy to determine the response to the oscillating magnetic field. When ​, the hysteresis loops exhibit a step-like behavior, which correlates with an orientational order in band magnetic configurations, and the area of the loops increases with ​. Conversely, when ​, the area of the hysteresis loops tends to decrease with ​, showing a linear behavior. For densities less than one, the observed hysteresis loops can be explained by the interplay between intrinsic NP anisotropy and system shape anisotropy, i.e., individual and collective behaviors.