<p>In this work, the Jeans self-gravitational instability in strongly coupled degenerate plasma has been investigated in the presence of temperature degeneracy and radiation pressure. Using basic hydrodynamics, the dispersion relation has been obtained and simplified to derive the Jeans instability criteria. Subsequently, the effects of various parameters, such as the quantum parameter, ion velocity, and compressibility factor on the growth rate of instability have been studied. The results indicate that temperature degeneracy plays a critical role in influencing the stability of the plasma, revealing a stabilizing effect as temperature degeneracy increases. The system becomes more stabilized when the compressional ion velocity and ion fluid isothermal compressibility factor increase, further emphasizing the stabilizing effect of temperature degeneracy. On the other hand, the interactions between quantum parameters and growth rates underscore the complex dynamical behavior of degenerate plasmas under self-gravitational forces. These results enhance the understanding of plasma behavior in astrophysical contexts and provide insights into potential applications in modern astrophysics and plasma physics. This research contributes to the broader understanding of plasma stability in dense astrophysical environments (White Dwarfs), where both quantum effects and thermal dynamics are significant.</p>