This painting represents Christ visiting people throughout the Americas--no problem at all. The official title of the painting is "Jesus Teaching in the Western Hemisphere (Jesus Christ Visits the Americas), by John Scott."
The painting is a melange or mixture of a variety of locations, with both Chichen Itza and Machu Picchu in the background. The damaged temple setting postdates Book of Mormon time frames.
The painting is only a problem when it is incorrectly titled "Christ visiting (or teaching) the Nephites" instead of "Christ visits the Americas." Apparently some people in the Church Media department don't recognize the difference. Look at this link to the painting: https://www.lds.org/media-library/images/christ-teaching-nephites-39665?lang=eng.
The language in the link incorrectly names the painting, but worse, it contradicts the official Church policy of neutrality on Book of Mormon geography. Because nothing in this painting reflects a North American setting, titling the painting as "Christ teaching the Nephites" conveys a particular geography; i.e., it teaches that the Nephites lived in Central America (the obscure homage to Peru notwithstanding, because few people recognize that anyway).
Correcting the link should be relatively easy.
While you're at it, please also correct the information at https://www.lds.org/children/resources/topics/jesus-christ-visits?lang=eng. The title of the page is fine, but the artwork in the links depicts Christ visiting the Nephites in Mesoamerica exclusively, contrary to the official Church policy of neutrality.
Artwork such as this creates and reinforces historical narratives that are misleading if not properly titled and explained. This article in the October 2015 explains the problem with historically inaccurate paintings.
Long ago, Joseph Fielding Smith explained that because of the two-Cumorah theory on which the Mesoamerican geography depends, "some members of the Church have become confused and greatly disturbed in their faith in the Book of Mormon." Correcting the references to this painting to eliminate any mention that it depicts Christ visiting the Nephites will help avoid the problems President Smith identified.