Well, currently it'll be pet, but in the next year i'll think about buying a male, or asking someone for his male to mate my female so i could sell childrens (i'm too soft for killing them and selling for meat :/). We've got a dog, and mom says the rabbits smell (if it was my choice, the one i'd keep in house would be probably old lol). I'd let her on the garden (not the chicken run) so she wouldn't have to sit in the cage whole time. Grandpa had some rabbits which he selled for meat so he'll help me with all of this and advise me. As I spend much time with chickens, I'd spend with rabbit too. What about bringing her in basement or garage for the night? Perhaps the chicken coop? Btw the cage is lifted so chickens couldn't hurt her.
Be sure its doesn't have any wire on the bottom. That can hurt her feet.
And always supervise her when outside. A hawk could pick her up in a heartbeat and you wouldn't notice.
If you just wanted to keep her as a pet I would get her spayed, that way she won't be aggressive or stink. There is also a high chance of her having some health issues from not spaying. If you wanted to make some money off her you could sell her poo. I know, its sounds gross. But, it's very dry and makes great fertilizer. It doesn't smell too. And you don't have to compost it. If you litter train them (which is easier to do when they're spayed or neutered), you can get it right out of the litter box for easy pickup. People can make quite a bit of money off rabbit poo.
And sadly a lot of times when people buy baby rabbits it's for Easter and they get dumped because they give it to some toddler then realize how much work they are. And sometimes they'll give it to pet snakes as live food.
I would definitely keep her in the basement at night too. I wouldn't put her in the garage because it could get really really hot. Is it possible that you could just setup a playpen in the basement for her? Cages are really too small for rabbits and they have a lot of energy, just like a puppy.
Dogs and rabbits can get along if the dog doesn't have a high prey drive and they are introduced properly. And you could always keep her blacked off the your doggo.
Tell your mom what I said about rabbits not stinking any too.
If I were you, I would just setup a playpen in the basement that she could stay in at night, in bad weather, or really hot or cold days. You could let her hang out with you outside during the day, so long as she's supervised. She won't smell at all, and you could spay her and teach her to use a litter box. You could still make money off her by selling her waste. I would also bunny proof the basement so she could get some free roaming exercise time.
Free roaming is much easier, and so much cheaper than a hutch or cage. She'll be so much happier and healthier too. And you'll get to bond with her more. All it takes is a bit of inexpensive bunny proofing. I bet once you have her for a while your mom will get really attached and see how great having a rabbit in the house is and let her stay inside.
I'm current;y writing an article all about rabbit care. It will have everything you need to know about them. It's almost finished, but for now I would watch Lennon The Bunny's videos on YouTube.