We present analysis of a diffusion-cooled hot-election bolometer in the lim
iting case of a weak thermalization of non-equilibrium quasiparticles. We p
ropose a new model replying on the non-thermal suppression of the supercond
ucting energy gap by excess quasiparticles. Using material parameters typic
al for Al, we evaluate performance of the bolometer in the heterodyne regim
e at terahertz frequencies. Estimates show that the miser may have quantum
limited noise temperature and a few tens of GHz bandwidth, while the requir
ed local oscillator power is in the mu W range due to in-effective suppress
ion of the energy gap by quasiparticles with high energies.