The emission of MeV-mass T neutrinos from newly formed neutron stars is considered in a simple, but accurate, model based upon the diffusion approximation. The T neutrinosphere temperature is found to increase with mass so that the emission of massive T neutrinos is not suppressed by the Boltzmann factor previously used, ( m , /~, )~~~e x p ( -m , /~, ) , where T, -4 MeV-8 MeV. For short T neutrino lifetimes (T, 5 sec) decays and inverse decays lead to a reduction in the temperature of the T neutrinosphere. Using our results, we revise limits to the mass and lifetime of an MeV-mass T neutrino based upon SN 1987A. Our constraints, together with bounds based upon primordial nucleosynthesis and laboratory experiments, exclude the possibility of a T neutrino more massive than 0.4 MeV if the dominant decay mode is radiative and T, 2 2.5 x 10-l2 sec(m,/MeV). The lifetime restriction does not apply for the modes v, + v,,, + y. Our technique and results are easily generalized to other hypothetical MeV-mass particles whose interactions are of roughly weak strength. Finally, we speculate on the possible role a 15 MeV-30 MeV T neutrino might play in powering supernova explosions. PACS number(s): 97.60.Jd, 14.60.Pq, 97.60.B~