  I unveil a novel variant of Anderson localization. This emergent phenomenon
pertains to the motion of a dopant in a thermal spin lattice, rendered
localized by thermal fluctuations. This is in stark contrast to the intrinsic
origin of localization for quenched disorder. The system of interest consists
of spin-$1/2$ particles organized in a two-leg ladder with nearest neighbor
Ising interactions $J$. The motion of a hole -- the dopant -- is initialized by
suddenly removing a spin from the thermal spin ensemble, which then moves along
the ladder via nearest neighbor hopping $t$. I find that the hole remains
\emph{localized} for all values of $J/t$ and for \emph{all} nonzero
temperatures. The origin is an effective disorder potential seen by the hole
and induced by thermal spin fluctuations. Its length scale is found to match
with the underlying spin-spin correlation length at low temperatures. For
ferromagnetic couplings ($J<0$), the associated localization length of the hole
increases with decreasing temperature and becomes proportional to the
correlation length at low temperatures, asymptotically delocalizing at low
temperatures. For antiferromagnetic couplings ($J>0$), there is a smooth
crossover between thermal localization at high temperatures to localization
driven by the antiferromagnetic order at low temperatures. At infinite
temperatures, the dynamics becomes independent of the sign of the spin
coupling, whereby the localization length is a universal function of $|J|/t$,
diverging as $(t/J)^{2}$ for $|J| \ll t$. Finally, I analyze a setup with
Rydberg-dressed atoms, which naturally realizes finite range Ising
interactions, accessible in current experimental setups. I show that the
discovered localization phenomenon can be probed on experimentally accessible
length- and timescales, providing a strong testing ground for my predictions.
