  We consider a hybrid structure where a material with Rashba-like spin-orbit
coupling is proximity coupled to a conventional superconductor. We find that
the superconducting critical temperature $T_c$ can be tuned by rotating the
vector $\boldsymbol{n}$ characterizing the axis of broken inversion symmetry.
This is explained by a leakage of $s$-wave singlet Cooper pairs out of the
superconducting region, and by conversion of $s$-wave singlets into other types
of correlations, among these $s$-wave odd-frequency pairs robust to impurity
scattering. These results demonstrate a conceptually different way of tuning
$T_c$ compared to the previously studied variation of $T_c$ in magnetic
hybrids.
