The compound emits to 490 nm when the temperature is 77K but it changes to 485 (aprox.) at RT. I dont think that it is enough movement of the luminiscence band for considering a thermoluminiscent behaviour.
То my opinion and knowledge for the subject the similar temperature behaviour of luminescence is unusual at least in compare in organic dye solutions: as T decreases the fluorescence max shifts to blow region because simultaneous narrowing of absorption and fluorescence spectral bands. You write nothing about your Tb(III) compound. If energy level transitions are discrete it is possible that T increase can excite other higher located levels and correspondently activates transitions with the similar short wavelength shift. It means that You should study carefully the fine structure of your rare-earth ion Tb(III)
The electron population can be changed by temperature. the energy level 5D4 is not single line, 2*4+1 Stark lines. in lower temperture, the electrons populate in the lowest line, the emission light energy is lower 490nm. in the higher temperture, a lot of electrons populate in the high line due to Boltzmann distribution. the emission light energy is higher 485nm.
We need more clarifications about the environment of your Tb(iiI). Also which excitation are you using? Are you experiencing the same behavior with the 545 nm emission line which is the most intense for Tb(III)?