Report investigating the effects of time-ordering over the complete line profile using a unified theory of spectral line broadening previously developed. The behavior of the time-ordered thermal average and un-time-ordered thermal average are compared. The Fourier transform of the thermal average is obtained analytically. Calculations for the line profile of the Lyman-[functional symbol alpha] line of hydrogen are presented and are representative in that the full thermal average is replaced by the thermal average with the electron velocity distribution approximated by f(v)=[functional symbol alpha] (v-vav) where vav is the thermal velocity for the plasma in question.