Synonyms for Veil (same or very similar meaning)
WordNet sense 1 (the inner membrane of embryos in higher vertebrates (especially when covering the head at birth)):
caul, embryonic membrane
WordNet sense 2 (a vestment worn by a priest at High Mass in the Roman Catholic Church; a silk shawl):
humeral veil
WordNet sense 3 (a garment that covers the head and face):
head covering
WordNet sense 4 (make undecipherable or imperceptible by obscuring or concealing):
hide, obliterate, obscure, blot out
From the ODE community, based on WordNet
add/edit