  The Telescope Array (TA) shows a 20$^{\circ}$ hotspot as well as an excess of
UHECRs above 50~EeV when compared with the Auger spectrum. We consider the
possibility that both the TA excess and hotspot are due to a dominant source in
the Northern sky. We carry out detailed simulations of UHECR propagation in
both the intergalactic medium and the Galaxy, using different values for the
intergalactic magnetic field. We consider two general classes of sources:
transients and steady, adopting a mixed UHECR composition that is consistent
with the one found by Auger. The spatial location of the sources is draw
randomly. We generate Auger-like and TA-like data sets from which we determine
the spectrum, the sky maps and the level of anisotropy. We find that, while
steady sources are favored over transients, it is unlikely to account for all
the currently available observational data. While we reproduce fairly well the
Auger spectrum for the vast majority of the simulated data sets, most of the
simulated data sets with a spectrum compatible with that of TA (at most a few
percent depending on density model tested) show a much stronger anisotropy than
the one observed. We find that the rare cases in which both the spectrum and
the anisotropy are consistent require a steady source within $\sim 10$ Mpc, to
account for the flux excess, and a strong extragalactic magnetic field $\sim
10$ nG, to reduce the excessive anisotropy.
