I had two villagers like that in my first magic game. I fretted over them for days but eventually came to realize that over all they were the healthiest (and luckiest) people on the whole island. I simply made them eat (and drink water) on a very constant basis and they both lived well into their seventies. Barring an unfortunate event your potion-hating 4 yr. old should live a long and fruitful life. Hopefully you have level 3 medicine to give her an additional edge.
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