  In the past few years, some studies claimed that annihilating dark matter
with mass $\sim 10-100$ GeV can explain the GeV gamma-ray excess in our Galaxy.
However, recent analyses of the Fermi-LAT and radio observational data rule out
the possibility of the thermal relic annihilating dark matter with mass $m \le
100$ GeV for some popular annihilation channels. By using the new observed
radio data of the Andromeda galaxy, we rule out the existence of $\sim 100-300$
GeV thermal relic annihilating dark matter for ten annihilation channels. The
lower limits of annihilating dark matter mass are improved to larger than 330
GeV for the most conservative case, which is a few times larger than the
current best constraints. Moreover, these limits strongly disfavor the
benchmark model of weakly interacting massive particle (WIMP) produced through
the thermal freeze-out mechanism.
