  In the aligned two-Higgs-doublet model, the alignment of Yukawa matrices in
flavour space guarantees the absence of tree-level flavour-changing neutral
currents, while allowing at the same time for new sources of CP violation,
implying potentially large effects in many low-energy processes. In this work
we study the constraints from exclusive radiative $B\to V\gamma$ decays, where
$V$ denotes a light vector meson. The current experimental data on the
CP-averaged branching ratios and the direct CP and isospin asymmetries are
analyzed. It is found that, while the branching ratios and direct CP
asymmetries do not constrain the parameter space much further compared to the
inclusive $B\to X_{s,d} \gamma$ decays, complementary constraints can be
obtained from the isospin asymmetries $\Delta(K^*\gamma)$ and
$\Delta(\rho\gamma)$. In addition, correlations between the various observables
in exclusive $B\to V\gamma$ and inclusive $B\to X_{s,d} \gamma$ decays are
investigated in detail, and predictions are made for several so far unmeasured
observables.
