  The thermal relaxation time ($\tau_{\kappa_{ee}}$) for the degenerate
electron plasma has been calculated by incorporating non-Fermi liquid (NFL)
corrections both for the thermal conductivity and specific heat capacity.
Perturbative results are presented by making expansion in $T/m_D$ with next to
leading order corrections (NLO). We see that the NLO NFL corrections further
reduce the decrease in relaxation time due to the leading order (LO)
correction.
