  A tidal disruption event (TDE), AT2019dsg, was observed to be associated with
a PeV neutrino event, IceCube-191001A, lagging the optical outburst by a half
year. It is known that TDEs may generate ultrafast outflows. If the TDE occurs
in a cloudy environment, the outflow-cloud interactions may form shock waves
which generate accelerated protons and hence delayed neutrinos from hadronic
interactions in clouds. Here we investigate the neutrino production in
AT2019dsg by examining the TDE outflow-cloud interaction model. We find that,
for an outflow with a velocity of 0.07c and a kinetic luminosity of $10^{45}\rm
erg\ s^{-1}$, protons may be accelerated up to $\sim$ 60 PeV by the bow shocks,
and generate PeV neutrinos by interactions with clouds. The predicted neutrino
number in this model depends on the uncertainties of model parameters and in
order to match the observations, some challenging values of parameters have
been involved. The PeV neutrino event number can be $\sim 4\times10^{-3}$ for a
hard proton index $\Gamma=1.5$.
