Please, take a look at the place of can be below. Which one is gramaticall? What about using of Patience or illness?
1) How effective can pill AA be for Janes's patience?
2) How effective pill AA can be for Janes's illness?
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Remember - correct capitalisation, punctuation and spacing make posts much easier to read.
Therefor, "How effective can pill AA be for Jane's illness?" is grammatical, isn't it?