There are a lot of things that can cause a chin to drool and get wet fur around the mouth. It could be malocclusion, a infection of the mouth or teeth, something caught in the teeth, the chin could be in a lot of pain causing her to drool, it could maybe even be something stuck at the back of her mouth or she could have nasal discharge, etc etc.
Since this came on so suddenly, you may want to get her in to see a veterinarian a little sooner than next week. Is she eating and drinking still? Is she pawing at her mouth or acting strange in any way?