If the Technicolor omega_T particle exists, a likely decay mode is
omega_T -> gamma pi_T, followed by pi_T -> bb-bar, yielding the signature
gamma bb-bar.  We have searched 85 pb^-1 of data collected by the CDF
experiment at the Fermilab Tevatron for events with a photon and two jets,
where one of the jets must contain a secondary vertex implying the presence of
a b quark.  We find no excess of events above standard model expectations.  We
express the result as an exclusion region in the M_omega_T - M_pi_T mass
plane.