If you have a lease, your rental cannot be terminated until the lease term is over, unless you have broken an important lease clause (such as failing to pay rent or keeping a pet in violation of a no-pets rule) or you have committed an illegal act. Most lease clauses do not expressly address whom you share your bed with; and most states have tossed out their anti-sodomy and fornication laws. So, as long as your lease has no clause prohibiting certain types of sexual behavior and you don't live in a state that makes sodomy or unmarried sex illegal, a landlord who attempts to evict you solely on the grounds of your sexual orientation would have a hard time succeeding. This result would be true even for renters who live in cities or states that don't prohibit sexual orientation discrimination. Those that live in states that do would have an even stronger case.