  Quantum many-body systems with kinetic constraints exhibit intriguing
relaxation dynamics. Recent experimental progress in the field of cold atomic
gases offers a handle for probing collective behavior of such systems, in
particular for understanding the interplay between constraints and disorder.
Here we explore a spin chain with facilitation constraints --- a feature which
is often used to model classical glass formers --- together with disorder that
originates from spin-spin interactions. The specific model we study, which is
realized in a natural fashion in Rydberg quantum simulators, maps onto an
XX-chain with non-local disorder. Our study shows that the combination of
constraints and seemingly unconventional disorder may lead to interesting
non-equilibrium behaviour in experimentally relevant setups.
