Can I just say she has an adorable, alert cheeky face! She is clearly very active and busy. Also a month isn't that long - especially if you've had to clean out her nest and hoard during that time - it can take a while to settle in. Do you put new food back when removing pee'd on hoard? It helps. They get frantic about their nest and hoard.
She just looks like she's being a hamster to me and if the only air is from the top she may try and see if she can get out that way.
It's a lovely big bin - is it the Iris bin? I can't quite see but it looks like the ventilation goes the whole length of the top. My only observation was maybe it could do with more ventilation - eg a panel at the front - but if the whole top is meshed it could be ok (could explain why she is going for the top as that's the ventilation area?
Where is she nesting? Again I can't see well but I would give her a really big house/nesting box in there. They often move their pee area inside the house in a corner of the house if you give them a large house, so you can then put a corner litter tray inside the house - it has always worked a treat for me. Especially if the house has a lift off roof - then you can just take the roof off and take the litter tray out and empty it and the rest of the cage stays clean. They are much less likely to pee on their nest and hoard with a litter tray inside the house.
They do need somewhere dark to retreat to and build a nice big cosy nest, to feel secure and not anxious and with all that space I think it would help - maybe at the right hand end. A cardboard shoe box would do great - cut the base out so it's open underneath and use the lid as a lift off roof. Then cut a hole in for a door - if you put the door at one end of the long side then they tend to nest in the side away from the door, where it's darker, and pee in the back corner nearest the door. If you put that bendy stick bridge over the door it makes a tunnel entrance and makes it dark inside, so it will tempt her in there and she may move her nest in there or build a new nest in there.
Getting a little corner litter tray with Chinchilla sand in to put in the house where I mentioned and she will almost certainly use it.
Of course she might chew the house to bits but it's replaceable
Some female hams are incredibly active.
Something like this. Our hammy pees in the back corner and sits in the front for a wash.
https://www.amazon.com/Kaytee-Hi-Cor...=hamster+potty
If she tries to climb on the roof to get out - don't worry - because if your lid is well fitting she can't get out. Also a partly submerged house works well (mimics an underground burrow) so that would make it lower - as long as there is still enough substrate underneath.
Then leave her alone for a week - it shouldn't get too stinky in that time. After a week maybe empty the litter tray but leave everything else - she will have scent marked everything when she moved in so any changes will stress her. Adding something new seems to accepted well though.