  We present an analysis of Murchison Widefield Array radio telescope data from
$\omega$ Cen, possibly a stripped dwarf spheroidal galaxy core captured by our
Galaxy. Recent interpretations of Fermi-LAT $\gamma$-ray data by Brown {\it et
al.} (2019) and Reynoso-Cordova {\it et al.} (2019) suggest that $\omega$ Cen
may contain significant Dark Matter. We utilise their best-fit Dark Matter
annihilation models, and an estimate of the magnetic field strength in $\omega$
Cen, to calculate the expected radio synchrotron signal from annihilation, and
show that one can usefully rule out significant parts of the magnetic field -
diffusion coefficient plane using our current observational limits on the radio
emission. Improvement by a factor of 10-100 on these limits could constrain the
models even more tightly.
