The present work delves into the analysis of carrier scattering rates, emphasizing the effective strategy of chemical functionalization for introducing magnetism into two-dimensional, initially non-magnetic materials. Specifically, our investigation focuses on the distinct alterations observed in the electron linewidth within two half-fluorinated configurations, namely GeC-F and F-GeC. Leveraging density functional and many-body perturbation theories, our findings highlight a substantial increase in the linewidth upon inducing ferromagnetism and antiferromagnetism in the GeC hybrid. Additionally, we identify the significant contribution of different phonon modes to the linewidth. The outcomes reveal that the out-of-plane acoustic mode ZA exerts global control over the valence and conduction bands. Moreover, the relaxation time of electrons following sunlight illumination demonstrates that electron thermalization occurs within 1.5fs to 130fs for ferromagnetic GeC-F and within 2.32fs to 42fs for antiferromagnetic F-GeC. This study provides a detailed and accurate description of electron behavior at sub-picosecond timescales, a realm that is experimentally challenging to attain.