Radiometer requires access to the raw emittance of the object. Either the radiometer needs to be placed within the cavity, which is a non-starter, or it needs to have a window, which would leak microwave radiation, again, a non-starter.
The OP needs to post more information about object or material is being heated, how often the measurements need to be performed, allowable latency, is heating allowed to stop temporarily, etc.
TTFN