Current status:
https://jwst.nasa.gov/content/webbLaunch/whereIsWebb.html?units=metricThe temperature in French Guiana (launch site) is virtually all year around the value of 30°C 303°K 86°F
If Webb was not cooled on the pad then when the fairings exposed Webb to space, the Instrument Radiator would radiate 468W/m²
Now almost two months later it has cooled to 43°K -231°C and radiates 172mW/m²
Dropping another 6.68° photon radiation will drop by 50% This is why it will take months to cool.
At 20°K it will radiate 9mW/m²
Instrument Radiator Temp(K) 42
Space Temp (K) 4
Area m² 1
Emissivity 0.98
Stefan Boltzmann constant 5.6702E-08
Watts of Photon radiation 0.17289
Emissivity*Stefan Boltzmann constant*Area m²*((Instrument Radiator Temp (K)E4)-(Space Temp (K)E4))
The mirrors are gold and almost do not radiate, emissivity 0.02, they cool from the back non-gold side.