Just an FYI, when people say bump the temps up for an RI, they mean ambient temps. Not the hot spot.![]()
Also, if it is an RI, she could have been rubbing her nose pretty hard against the sides of the tub to "scratch/scrub" the mucus off her nose/mouth. It would be a stretch, but it's possible. Check the walls of the tub for a dried on whitish substance. That could give you a better idea. When mine had an RI she smeared that nasty slime all over the walls of her enclosure.
If it's not that, I'm not sure how to help. A mouth injury will have to wait for the vet unless someone more experienced can offer up a little more insight.
Best of luck!