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We discuss the behavior of head-to-head $e\gamma\to e\gamma$ scatteringprocess in the noncommutative quantum electrodynamics on the Moyal space amidits unresolved forward scattering singularity. We model the effect of thecurrently unknown resolution to this collinear singularity by cut-offs whichare functions of the control variable $s/\Lambda_{\rm NC}^2$ and find that suchcut-off functions can suppress NC corrections to the inverse Compton scatteringto negligible. We also notice that such cut-offs leave the integral crosssection of the forward region larger than the backward region all the time,making the former potentially easier to observe. Our estimations indicate thatsuch an effect may be visible in the future collider experiments when the scaleof noncommutativity $\Lambda_{\rm NC}\gtrsim1$ TeV.

High energy Compton scattering in the NCQED