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Mummification, as just one example! To this end, returning to the group and scrounging around, you can collect from the supplies a bunch of linens both medical and otherwise.
Of course it's not perfect, normally you'd want to treat the wrappings in the proper way but this will have to do for now. After some long minutes you marvel at your handiwork... Keely with her neck bandaged to keep her head on, and also wrappings for her nose and mouth, and most of her body. An effort to keep her from coughing on others, or getting any blood on them.
<span class="mu-s">"Wow. Amazin'. Thanks."</span>
After that, and a... <span class="mu-i">lot</span> of convincing to the group, you can get them to begrudgingly tolerate Keely back into the group, if not accept her. Thankfully your efforts do seem to work, apart from a small slip-up where a few days later everyone comes down with the plague again and you have to desperately save their lives, and the group nearly murder Keely then and there if not for your strong intervention. After that minor hiccup though, recognizing the source to be even just the moisture in Keely's breathing (coughing or not), you simply wrap her nose and mouth twice and all is well! After that little problem taken care of, no longer do you or the group have any issues with the plague among yourselves, and they can come to allow Keely among you all (at your encouragement and pleading) even though they remain leery of her. Of course the young lady herself is undignified by your actions and being wrapped up all over, but apart from the discomfort of it she doesn't mind too much, since being able to be among people with the illusion of normalcy is worth it to her.
As for a longterm solution to her problem, you're not sure how much progress you can make without intensively examining and experimenting on her. The plague is not a natural one, escaped from the underworld like you did, so neither your godly aspects of Health or even your minor one of Death, can fully contend with the problem. If instead you were a goddess of Disease (and subsequent Cure) for example then this would be a simple matter you could just brush away. But as you are, you're trying to solve the problem with half-measures and the only reason you can even have any effect at all in the first place is because your gained familiarity with Death. Keeping people in good health to survive the plague is one thing, but actually curing some affliction from the very realm of Death itself is another.