The correct answer is D. no article.
The word “sick” is a non-count noun, which means it does not have a plural form and does not take an article. Other examples of non-count nouns are water, air, and love.
In the sentence “Julia has been a nurse all her life. She has spent her life caring for sick,” the word “sick” is used as a collective noun to refer to all people who are sick. In this case, it would be incorrect to use an article, such as
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