We get this alot with cologne and perfume or just poor hygiene in general.
It's not tolerated. People sneeze and sniffle when someone walks in wearing dollar-store perfume. And we can't have someone reheating cabbage
while we're in the middle of a presentation.
I would speak up. But I say that knowing my boss wants to hear it. Are other people bothered by her behavior? Look at how other people are dealing with it, people that have been there a while. If they're not stressed, then? Is she apt to quit, take another job? Can you just wait it out? Will you or she be moved eventually anyway? Can you just get used to it (suck it up::I know, not the most helpful suggestion)? Headphones?
We've got an individual that is purposefully talking loud, laughing loud, slamming drawers, etc., because she wants to move and is hoping everyone around her will get annoyed enough to expedite her wishes. What she should do is go talk to the person she wants to swap places with and get it worked out.
If you do go to your boss, couch your concerns in a way that leaves no doubt your productivity will improve as your situation improves. There has to be some positive benefit to the disruption. Also, hope that wherever you move or whoever replaces her is not a repeat of your earlier situation or worse. How do you approach your boss twice with the same concerns?
As far as the sneezing and coughing, that's discouraged as well. If you're hacking, stay home. Someone will generally send out an email reminding people to wash their hands, cover their mouth, or stay home, when someone comes in misting a cold.
Similar emails go out for peeing on the seat, leaving dishes in the sink, etc.
Hope it works out for you