Final answer:
The most likely underlying cause of this patient's amenorrhea is Hypothalamic-pituitary amenorrhea.
Step-by-step explanation:
The most likely underlying cause of this patient's amenorrhea is Hypothalamic-pituitary amenorrhea. Hypothalamic-pituitary amenorrhea refers to the absence of menstrual periods due to a disruption in the normal functioning of the hypothalamus and pituitary gland, which regulate the reproductive hormones. This disruption can be caused by factors such as stress, excessive exercise, weight loss, or psychological conditions. In this patient's case, the previous miscarriage and infection, along with the resulting hormonal changes, may have disrupted the normal functioning of the hypothalamus-pituitary axis and led to the amenorrhea.