The first measurements of anisotropic flow coefficients vn for mid-rapidity charged particles in Xe--Xe 5.44 TeV are presented. Comparing these measurements to those from Pb-Pb 2.76 TeV, v2 is found to be suppressed for mid-central collisions at the same centrality, and enhanced for central collisions. The values of v3 are generally larger in Xe--Xe than in Pb--Pb at a given centrality. These observations are consistent with expectations from hydrodynamic predictions. When both v2 and v3 are divided by their corresponding eccentricities for a variety of initial state models, they generally scale with transverse density when comparing Xe--Xe and Pb--Pb, with some deviations observed in central Xe--Xe and Pb--Pb collisions. These results assist in placing strong constraints on both the initial state geometry and medium response for relativistic heavy-ion collisions.