What is the Chronic Illness?
I have had almost 50 villagers out with it for a year now…
Small pox seeing as it’s not listed with the other stuff in that screenshot?
I ended up figuring it out as I had another issue and this overlapped.
THe problem is, this particular person is a rat catcher… and I can’t replace her. Every time I remove and reassign, it puts her back in. Which is leading to a rat infestation… and more disease.
Bug? Or Feedback?
Try fining someone else at the same time, a job that is not as immediately essential like a miner or something. Then fire her. Then rehire a rat catcher and see if they switch places.
Not sure this will work, but it is something to try. Your miner may be thankful for getting less broken bones for a short while. 
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That is pretty much what I ended up doing. I removed her and then set all my free labour to other jobs (including her) then freed someone from a job then set them as catcher lol