  We examine the parameter space of supersymmetric models with $R$-parity
violating interactions of the form $\lambda' L Q D^c$ to explain the various
anomalies observed in $b \rightarrow s \ell \ell$ transitions. To generate the
appropriate operator in the low energy theory, we are led to a region of
parameter space where loop contributions dominate. In particular, we
concentrate on parameters for which diagrams involving winos, which have not
been previously considered, give large contributions. Many different
potentially constraining processes are analyzed, including $\tau \rightarrow
\mu \mu \mu$, $B_s-\bar{B}_s$ mixing, $B \rightarrow K^{(*)} \nu \bar{\nu}$,
$Z$ decays to charged leptons, and direct LHC searches. We find that it is
possible to explain the anomalies, but it requires large values of $\lambda'$,
which lead to relatively low Landau poles.
