Arida blepharophylla is recognized by its perennial habit and leaves with long cilia on the margins. The perennial habit and branching caudex are similar to Xanthisma sect. Blepharodon. Within Arida, A. blepharophylla appears to be closely related to A. riparia, and the two species probably hybridize.
The type collection was made by Charles Wright in 1851 in present-day New Mexico and originally named Aster blepharophyllus. The species was not rediscovered until 1971 in Chihuahua, Mexico, in an area of gypsic hot springs. When transferred to Machaeranthera, it was given the name M. gypsitherma because the original epithet is blocked in that genus by the earlier, heterotypic M. blephariphylla (A. Gray) Shinners.