It’s possible, you just may have a period of time where the smell is stronger then usual. This is normally when the rabbits hormones first come in. But it lessens over time. There are occasions also when a rabbit (desexed or not) can produce more smell. Usually this is when they display territorial behaviours.
If you are not planning to get the rabbit desexed, I would actually choose a male rabbit. Ideally, an adult one that already has good litter habits.
Unspayed females have a high chance of developing uterine cancer and other uterine infections. It is less of an issue for a single male rabbit to be lect intact.
I encourage you to look into getting a rabbit through a rescue as they are already desexed and are a usually a reasonable price.You could also take a rabbit on a trial period and see how it works out for you. If it will be housed in your room, you will need to see you are not affected by hay, which they must have at all times. Some hays cause allergies for some people, but there are several types to try that may be less of a problem.
For odour control, it’s a matter of using a good litter and how frequently you change it. Wood pellets are really good with this and very affordable. These are usually wood stove pellets (without accelerant) or horse stall pellets. Paper litter is pretty good with odour also. There is no need to use additional bedding products.
I would guess at you needing to change it at least twice a week, possibly more for an unneutered rabbit.
You can use odour absorbers (not room deodorants) in the room to help.