[puroresu]

The 14th Amendment doesn't apply to private individuals.

Whether or not you would win if you sued a landlord for the various sexual issues you raise would depend on the laws in your state or locality. Given the fact that we increasingly disrespect propery rights, you might indeed win in some areas. But it wouldn't be due to the Constitution. There is no constitutional right to commit fornication on someone else's property, for example.

[jveritas]

OK let us make it more straightforward for you. Does the Constitution allow a landlord not to rent to people based on their race or religion? The answer is absolutely not, the same goes for sexual leanings.