Maybe you could show your parents this thread to help convince them? A few key points-
Some people think rabbits smell. They don’t! They are very clean animals and their fur has no natural odor, unlike dogs who tend to have a “doggy” smell. They use a litter box to go to the bathroom in, and their poop and pre has very little odor. A smelly rabbit is either sick and needs a vet or has a dirty cage or litter box. One thing- a boy or girl rabbit should be neutered/spayed to keep them from being messy and territorial. And female rabbits have an 80% chance of getting uterine cancer if not spayed by age 4! This might not be a selling point for your parents, since it costs money to spay/neuter, but you could always keep the rabbit in your room and do chores to earn money while you save for your rabbits spay/neuter. Local rabbit rescues might tell you of a vet that does cheaper operations than most because they do lots of rabbits.
Some people think rabbits aren’t smart. They are really smart, sensitive animals that learn to love their humans and other rabbits. They also can learn their names and come when they are called, get to know household routines, especially when their food should be served, and have definite likes and dislikes when it comes to food, toys other rabbits and just about anything.
Some people think rabbits are happiest outside. They’re not! They are very social and get lonely, and being outside with prey animals like large birds, foxes, dogs and cats is very frightening for them. A rabbit can die of fright before a predator even touches it! They also need to be watched to be sure they’re eating and acting well- they can get sick very quickly and hide their illness since in the wild, sick bunnies get eaten.
I hope your parents will let your rabbit live inside! The only other way your rabbit would be at all safe is to build an enclosed rabbit run with a hidey house for you bunny. That means getting wood, heavy duty metal mesh to enclose it, more wood for the house, measuring (run should be at least 6×4 not including the house). Much easier just to move bunny inside ☺.
Also, you obviously love your rabbit and would be terribly upset if anything happened to her. I know that us parents tend to do our best to protect our kids from unneeded sadness.
Good luck- and please post any more questions that you or your parents may have!