Correct option is D
The correct substitution of the highlighted segment is (d) "lest she should fall sick again." The use of "lest" to express a preventative caution requires the modal verb "should" to follow it, creating a subjunctive mood that indicates a precaution against a potential outcome. Grammatical rule used: "Lest" is followed by "should" plus the base form of the verb to express a condition or possibility to be avoided. Example: She carried an umbrella, lest she should get wet in the rain.