We study the stability of a thin liquid film on a heated, slippery slope, considering the impact of disregarding time-reversal symmetry, which introduces odd viscosity. Our theoretical model incorporates odd viscosity, slip length, and temperature-dependent surface tension, while also accounting for variations in liquid density with temperature differences. We study the impact of long-wave instabilities by deriving an evolution equation on the local film thickness. Linear stability analysis employing the method of normal modes shows that the slip length destabilizes the flow while a reduction in density stabilizes it. Furthermore, the presence of odd viscosity strengthens the stabilizing effect resulting from density reduction. Employing weakly nonlinear stability analysis with multiple scales, we find that certain wave numbers exhibit a supercritical bifurcation while others display a subcritical bifurcation. Numerical simulations in a periodic domain confirm the predictions made by the linear and weakly nonlinear analyses.