Why Is Temperature Irrelevant in Calculating Compton Scattering Angle?

[LocationX]

if the compton wavelength shift is in scattering an electron is 0.29 pico-m, what is the photon scattering angle? (you make take T=600K)

I don't know why I was told the that T=600K?

$$\Delta \lambda= \frac{h}{mc} (1-cos\theta)$$

$$\frac{h}{mc}=0.00243 nm$$

$$0.119341564=1-cos\theta$$

$$\theta=28.278 degrees$$

i don't see where the temperature comes in.
is my work correct?

 

[Gokul43201]

I haven't checked the numbers but the expression is correct. And there should be no role for temperature in the problem.