  We show that a two-dimensional (2D) spin-polarised Fermi gas immersed in a 3D
Bose-Einstein condensate (BEC) constitutes a very promising system to realise a
$p_x+ip_y$ superfluid. The fermions attract each other via an induced
interaction mediated by the bosons, and the resulting pairing is analysed with
retardation effects fully taken into account. This is further combined with
Berezinskii-Kosterlitz-Thouless (BKT) theory to obtain reliable results for the
superfluid critical temperature. We show that both the strength and the range
of the induced interaction can be tuned experimentally, which can be used to
make the critical temperature approach the maximum value allowed by general BKT
theory. Moreover, this is achieved while keeping the Fermi-Bose interaction
weak so that three-body losses are small. Our results show that realising a
topological superfluid with atomic Fermi-Bose mixtures is within experimental
reach.
