Collocations for veil - noun

thin
black, white
bridal, wedding
The bridal veil was fringed with lace.

Islamic

wear
take
to take the veil (= become a nun)

lift, pull back, remove, take off

cover sth, hide sth
A veil covered her face.

behind a/the veil
I couldn't see her face behind the veil.

discreet (BrE)
I'll draw a discreet veil over the rest of the proceedings.

lift
The government has decided to lift the veil on its plans.

penetrate, pierce
draw, throw
It would be better to draw a veil over what happened next (= not talk about it).

behind a veil of, under a veil of
The work is carried out behind a veil of secrecy.