It seems almost laughable that she thinks she can tell you to do your laundry!! Right now it's raining hard here, so I have clothes hanging inside, some wet in a basket and some dirty in a basket waiting to be washed. Would she demand that they were dried faster, or I held off on doing laundry until after the inspection?

If she thinks the kitchen floor is filthy, but at the next inspection it's the same as last time because it's that type of floor (had one of those, I hated it), invite her to clean it herself!

The way she's spoken to you is completely unprofessional, keep note of things like that - it's great that you've got the RTA onside, things like this will help.