  Thermal higgsino dark matter (DM), with mass around 1 TeV, is a
well-motivated, minimal DM scenario that arises in supersymmetric extensions of
the Standard Model. Higgsinos may naturally be the lightest superpartners in
Split-supersymmetry models that decouple the scalar superpartners while keeping
higgsinos and gauginos close to the TeV scale. Higgsino DM may annihilate today
to give continuum gamma-ray emission at energies less than a TeV in addition to
a line-like signature at energies equal to the mass. Previous searches for
higgsino DM, for example with the H.E.S.S. gamma-ray telescope, have not
reached the necessary sensitivity to probe the higgsino annihilation
cross-section. In this work we make use of 14 years of $\textit{Fermi}$
gamma-ray data at energies above $\sim$10 GeV to search for the continuum
emission near the Galactic Center from higgsino annihilation. We interpret our
results using DM profiles from Milky Way analogue galaxies in the FIRE-2
hydrodynamic cosmological simulations. We set the strongest constraints to-date
on higgsino-like DM. Our results show a mild, $\sim$2$\sigma$ preference for
higgsino DM with a mass near the thermal higgsino mass and, depending on the DM
density profile, the expected cross-section.
