Elizabeth is the one character with a higher level of consciousness who communicates frankly with the reverend, and to whom he reveals his true feelings of love for her. but the physical symbol of the veil keeps them separate. when she pleads with him to remove the veil just once, why does he refuse? why does she then reject him, yet never marry another?

The answers are:

1-When she pleads with him to remove the veil just once, why does he refuse?

A- he refused to remove it because he wants to teach his parishioners to reveal their own true selves.

2-Why does she then reject him, yet never marry another?

A-Elizabeth never stopped loving Reverend Hooper even though she broke their engagement. And for the same reason she never married, although she undoubtedly had many opportunities to do so.

Explanation:

The story is about Reverend Hooper the minister of a small town, one day he appears at the meeting-house adorned in a black veil, not offering an explanation.

1 A."'There is an hour to come,' said he, 'when all of us shall cast aside our veils. Take it not amiss, beloved friend, if I wear this piece of crepe till then.'"

Here Reverend Hooper talks about people hiding behind appearances.

2 A "'Do not desert me, though this veil must be between us here on earth. Be mine, and hereafter there shall be no veil over my face, no darkness between our souls! It is but a mortal veil--it is not for eternity! O! you know not how lonely I am, and how frightened, to be alone behind my black veil. Do not leave me in this miserable obscurity forever!'"

Here Reverend Hooper asks Elizabeth to love him even though he uses  the black veil, and she is present at Hooper`s death.