O.K so lets start with some criticism, then some good stuff to not leave a bitter taste.
The first chapter doesn't really feel like it needs to be there. Nothing really was told to us as a reader that we don't already know from the description. You physically describe the main character, the maids and the room they are all in, but nothing that really progresses the story or explain anything about the world we are now all of a sudden in.
Having Alice/Stella be known as forgetful is a perfect excuse to tell us more about the world, her status as princess, her family, his family, the prince... The list can go on. But the only thing we get are snippets about Alice/Stella's looks, the clothing she is forced to wear and the room she is in. Nothing that helps explain anything.
Alice/Stella doesn't really question anything, and just goes along with whatever she is told to do. Unless this is a weekly thing to her, she should have been a little more freaked out, or at the very least curious to all this new stuff.
You can argue that because she was dreaming that she didn't feel the need to question things or not to go along with weird requests. But this leads to another criticism:
Don't ever use the "It was only a dream" cliche. I know that you aren't ending your story on it, but even mentioning it drives people away. It is such a quick way to loose people.
Mind you, you can have your main character THINK it was only a dream, but have a small reminder that it is not, an example might be that Alice has some scrapes or bruises from the Fox encounter, proving to her that all is not what it seems. But in my personnel opinion, you are better off to never use this cliche.
The second chapter can get away with not making much sense to us now. I expect that we will later learn more about the Cat and the Fox, so it is fine if they name drop people we don't know or tell us cryptic things.
I think you could have been more descriptive though, telling us the body language of the Fox as it tells Alice what it has to say. Maybe having it become more and more aggressive as it approaches her to then lunge, like you have already told us. To me it was like it was just sitting there talking to Alice, to then only move really quickly to attack her.
This can work and give it some sort of spooky supernatural feel to it, but it didn't read like this. You focused so much on Alice getting dressed previously that coming to this scene which should have been quiet cool (and terrifying) kinda just... happened? Like I can't really visualize how the scene played out because there isn't that much being told to us.
Also, the size of the Fox makes it unlikely to lunge at her throat because... it is the size of a building. It would be more like swallowing her whole or lunging AT her, not attacking a specific part of her. Maybe if it shrunk down (again reinforcing the supernatural aspect of this creature) to the size of Alice, a wolf or something larger then a normal Fox would be. This is kinda a nit pick, but something that other readers will probably notice as well.
Righto, now to the pros.
The idea for the story is good. I don't normally scope out romance stories, but I like what I read from the description that I thought I'd give it a go. That is good, since this is how you get other people to read your work. Interest.
The opening paragraph for the second chapter is nice. I like the way you described the cold affecting Alice. Actually just the way to described this new place she is in now in general. A really nice scene to picture.
The Cat and Fox that seem to have something to do with all this is a cool idea. Can't wait to see how things progress with these guys.
So those are my thoughts. Keep learning and keep writing.