Landlords generally have the right to refuse to rent to tenants with pets, provided a 'no pets' policy is clearly stated in the lease agreement. This is a contractual matter defined by the lease, not a legal right for the tenant to demand renting with a pet. While housing societies may have regulations, they typically don't override a landlord's initial rental agreement terms. You have the right to choose your tenants and set conditions regarding pets to protect your property.