Connotation refers to the feelings associated with a word, whereas denotation refers to its dictionary definition. Take the words house and home, for example. They both mean essentially the same thing, but one of them is more impersonal than the other. That is the difference between denotation and connotation.
The word in question is delicate. What does delicate mean? Something that is delicate is fragile. You could say it's frail or weak. These both have negative connotations.
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