  We extend the effective field theory for soft and collinear gravitons to
interactions with fermionic matter fields. The full theory features a local
Lorentz symmetry in addition to the usual diffeomorphisms, which requires
incorporating the former into the soft-collinear gravity framework. The local
Lorentz symmetry gives rise to Wilson lines in the effective theory that
strongly resemble those in SCET for non-abelian gauge interactions, whereas the
diffeomorphisms can be treated in the same fashion as in the case of scalar
matter. The basic structure of soft-collinear gravity, which features a
homogeneous soft background field, giving rise to a covariant derivative and
multipole-expanded covariant Riemann-tensor interactions, remains unaltered and
generalises in a natural way to fermion fields.
