Where is this nest? State and city.

How large are the eggs?

Take a picture with the bird sitting on.

This is the best picture I could get of her. She is understandably cautious. she is on the top right of the wreath.

Google "House Finch nest on wreath", look at the images that come up, and you will confirm it is a House Finch nest. You'll see many pics very similar to yours of nests on wreaths with those very lightly spotted eggs.

According to the Migratory Bird Treaty Act (which, despite the name offers protections to non-migratory birds such as house finches) the nest is protected, regardless of whom you sell your home to.

Removal of the nest would require a depredation permit issued by the USFWS.

Of course, that is the "letter of the law" and chances are if the new homeowners do decide to destroy the nest, the actual chances of them getting caught and suffering any consequences are slim to none. However you could simply inform them that harassment of birds on an active nest or destruction of the nest itself is a crime and perhaps that bit of knowledge will be enough to sway their opinion, if they happen to be inclined towards a removing it.

(If it's a house finch ... Incubation is by female, about 13-14 days. Young: Both
parents feed nestlings. Young leave the nest about 12-15 days after
hatching.

So you will have about 30 days (or less if she's already sitting) of incubation and nestlings, then you can remove the nest.