We present preliminary results of a measurement of inclusive
photon-charm production in $\bar{\rm p}$p collisions. Using data collected 
by the CDF experiment during the 1992-1993 Tevatron collider run, we have 
measured the inclusive photon-muon cross section, and estimated the 
decay-in-flight and punch-through backgrounds. We compare our measured 
photon-muon cross section and photon $E_T$ spectrum to Pythia predictions 
for the charm Compton contribution.