WIBTA if I asked my roommate to either monitor her cat when letting her out or close my bedroom door?

So a bit of relevant context: both of us (I'm 26F and roommate is around 40F) are cat moms. While we work similar field, she primarily sees patients virtually while I go out to see clients in their houses.

Anyways, so what's been going on for a bit of time is that that her cat has stolen my cat's dry kibble. She runs out the moment either of us catch her, but I feel like we may not always catch her on time. We've also sometimes navigated the situation by putting that brand of dry kibble in a bowl near her room to make her full. Now, of late, roommate's cat also gets into my cat's litter box to take a dump. Gosh it smells worse than mine's-today I had to pick it up from a rug under that litter box.

For both these things, I'm not sure how often her cat is doing either of these when the both of us are working. Like I don't know how often she lets her cat out of her room while she sees patients. I want to be fair for both cats to not be cooped up in our respective rooms all day. Hence the title question-I don't know if it's reasonable or an overkill to request that, or to even ask how often her cat is out of her room while we are working.

EDIT: I am willing to accept whatever my judgement may be. However, I need to clear up assumptions that have been made. My roommate does a mix of keeping her cat in the room with her and letting her cat out to begin with. I explicitly said I want both cats to have the freedom to roam the house, and the second option would literally involve putting my cat back in my room (granted this wasn't explicit enough).

We both are on the same page about her cat not stealing my cat's food (I've even given leftover dry food that isn't stale to my roommate), especially as my roommate wants her to not gain any more weight-it's just a matter of what happens when neither of us catch roommate's cat entering my room. And to people insinuating I have malicious double standards towards for her cat vs mine-my cat does not even steal food as she eats less and is a very picky eater. So sue me for not wanting her to have even less food, when I never suggested cooping up roommate's cat all day to begin with.

EDIT 2: Thank you to the people that suggested feeders, electromagnetic doors, and especially splitting on the same food and a communal litter box with both of us scooping. I do give some of my bag or leftovers (that are still fresh) to my roommate, but I will definitely consider speaking with my roommate on sharing and splitting both those things. It's a great solution (which is all I intended to do).