When the U.K. pound sterling appreciates relative to the New Zealand dollar, it means that the pound can buy more New Zealand dollars than before. As a result, goods from New Zealand become more expensive for consumers in the U.K. This typically leads to a decrease in demand for New Zealand goods, as they are now relatively more costly compared to domestic goods or goods from other countries.
Therefore, the correct answer is:
C. The U.K’s demand for New Zealand goods will decline.