  The spin transport inside an odd-frequency spin-triplet superconductor
differs from that of a conventional superconductor due to its distinct symmetry
properties. We study spin transport inside an emergent odd-frequency
superconductor by replacing the spin-singlet gap matrix in the Usadel equation
with a matrix representing spin-triplet pairing that is odd under inversion of
energy. We show that the peculiar nature of the density of states allows for an
even larger spin injection than in the normal-state. Moreover, when the
odd-frequency pairing inherits its temperature dependence from a conventional
superconductor through the proximity effect, the density of states can
transition from gapless to gapped as the temperature decreases. At the
transition point, the spin accumulation inside the odd-frequency superconductor
is peaked and larger than in the normal-state. While the spin-flip scattering
time is known to decrease below the superconducting transition temperature in
conventional superconductors, we find that the same is true for the spin-orbit
scattering time in odd-frequency superconductors. This renormalization is
particularly large for energies close to the gap edge, if such a gap is
present.
