Just how small is this kitchen? I use gladware rectangle aprox 8.5" x 6.5" x 4"d, for my 2 girls, have only one door, they have never had a problem getting in & out and both are in there together eating at times. I did have rubbermaid round kitchens they were about 4" d also, but not enough floor space for 2 dishes & 2 gliders, so I stick to the rectangular.
If the size you have is suitable, and she just doesn't like it, consider trying one of the igloos in a decent size, maybe it's the floor (plastic lid of container) she doesn't like, and at least the igloo will help cut down on mess some, or you could even try using it over a plate on cage floor or under it (sit in poop tray under igloo). That might work better for her.