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It's probably simpler to just memorize treatment as:
It's correct and won't trip you up on pregnant women questions
What about telogen effluvium? psychological stress-related hair loss.
Just to add on, telogen effluvium is usually due to physical stressors such as surgery, pregnancy, serious illnesses, or severe/life-threatening psychological stress. So although this patient is going through psychological stress, it's not exactly life-threatening enough to result in hair loss unless personally inflicted. I think the question stem also kind of hints at trichotillomania with her doing more things to her hair.
But this article is pretty useful in distinguishing between different causes of hair loss: https://www.aafp.org/afp/2003/0701/p93.html#sec-4
I was stuck on that too, but I think that measles more commonly presents with a maculopapular rash whereas a vesicular rash is more typical of VZV.
I think that the hepatosplenomegaly is definitely a common characteristic but you would see more bone abnormalities in Gaucher. This patient has no bone crises and exhibits developmental delay, HSM, and foam cells which is more characteristic of Niemann-Pick.