  The AMANDA neutrino telescope has recently reported the detection of
high-energy neutrinos spatially and temporally coincident with the flaring of
the TeV blazar 1ES 1959+650. At present, the statistical significance of this
observation cannot be reliably assessed, however. In this letter, we
investigate whether circumstances exist where the source can produce the flux
implied by the coincident events. We show that if the TeV gamma-ray emission
observed from 1ES 1959+650 or other nearby TeV blazars is the result of
accelerated protons interacting with nucleons, it is reasonable that AMANDA
could detect several events during a flaring period. Such rates require that
the spectral index of the source be rather high (for instance $\sim2.8$ for 1ES
1959+650) and that the Lorentz factor of the jet be fairly small ($\Gamma \sim
1$).
