She shouldn't need to ask you at all. It's your responsibility as a tenant to keep the place tidy - there should NEVER arise a situation in which mold and grime have been permitted to flourish.Further, she only asked me to clean my room the other week.
Your landlord could have evicted you for that.
Clean room or no, it's still not trespassing, nor is it illegal in any way.Further, whatever 'dust, mold or grime' is gone. My windows and screens are clean, all surface dust has been cleaned up, but she still closes my bedroom door, despite this.
If the two of you cannot come to an agreement about leaving your door open, you might consider moving out at the end of your lease term.

