Some rules in rental houses or apartments about pets are made due to the legal classification of the particular kind of animal. Dogs and cats, for instance, are domestic animals and are generally subject to less stringent liability laws than wild animals. In your state, are rabbits classified as wild or domestic? It does not matter how tame they are, it is the legal classification, in your state, that is crucial.
This is because whether you are the renter or the landlord, there are strict liabilities associated with keeping a wild animal that most landlords do not want to risk because the financial consequences to them can be devastating, and if they knew the renter kept a wild animal there is not a lot they can offer in the way of a defense.