No. Federal law does not allow a landlord to evict you if you lose a discrimination lawsuit. To the contrary, if your landlord attempted to evict you after you lost such a case, this would directly violate federal law. In sum, if you file a lawsuit for discrimination, you do not have to win the lawsuit to avoid being evicted. You get to stay in your apartment no matter what the outcome of the lawsuit. Courts want people to sue for discrimination without having to worry about what will happen if they lose the case.