As we read the conversation between Mr. Hooper and Elizabeth, we can see that Hooper is determined to continue to wear the black veil, no matter what it may cause.
We can arrive at this answer as follows:
Elizabeth and Hooper are engaged.
Their conversation started because Elizabeth demands to know why Hooper is wearing a black veil all the time.
The black veil makes Hooper look somber and Elizabeth believes that, as his fiancée, she has a right to know why he is acting this way.
However, Hooper is unwilling to either tell her why he is wearing the veil or stop wearing it.
He believes Elizabeth should trust him as his bride.
The conversation between them shakes the engagement between the two, but Hooper shows that he will continue wearing the veil even if it saddens his fiancée and even if the engagement needs to be ended.
This question is related to "The Minister's Black Veil" by Nathaniel Hawthorne. In this story, we meet a Puritan town that is terrified of the town's minister's decision to wear a mysterious black veil.
