  We develop a simple numerical method that allows us to calculate the
Bardeen-Cooper-Schriefer (BCS) superfluid transition temperature (Tc) precisely
for any interaction potential. We apply it to a polarised, ultracold Fermi gas
with long-range, anisotropic, dipolar interactions and include the effects of
anisotropic exchange interactions. We pay particular attention to the
short-range behaviour of dipolar gasses and re-examine current renormalisation
methods. In particular, we find that dimerisation of both atoms and molecules
significantly hampers the formation of a superfluid. The end result is that at
high density/interaction strengths, we find Tc is orders of magnitude lower
than previous calculations.
