Nope - you can discriminate legally if you cohabit your home.
"are individual bedrooms within an apartment a “dwelling” protected by the Fair Housing Act? The court gave its answer on February 3rd, and the answer was no: the Act does not protect roommate searches."
" The home is the center of our private lives. Roommates note our comings and goings, observe whom we bring back at night, hear what songs we sing in the shower, see us in various stages of undress and learn intimate details most of us prefer to keep private…. [two paragraphs omitted] “Liberty protects the person from unwarranted government intrusions into a dwelling or other private places. In our tradition the State is not omnipresent in the home.” Lawrence v. Texas, 539 U.S. 558, 562 (2003).
Holding that the FHA applies inside a home or apartment
would allow the government to restrict our ability to choose
roommates compatible with our lifestyles. This would be a
serious invasion of privacy, autonomy and security.
For example, women will often look for female roommates
because of modesty or security concerns. As roommates often
share bathrooms and common areas, a girl may not want to
walk around in her towel in front of a boy. She might also
worry about unwanted sexual advances or becoming romantically involved with someone she must count on to pay the rent.
An orthodox Jew may want a roommate with similar
beliefs and dietary restrictions, so he won’t have to worry
about finding honey-baked ham in the refrigerator next to the
potato latkes… Taking away the ability to choose roommates with similar dietary restrictions and religious convictions will substantially burden the observant Jew’s ability to live his life and practice his religion faithfully. The same is true of individuals of other faiths that call for dietary restrictions or rituals inside the home."
"are individual bedrooms within an apartment a “dwelling” protected by the Fair Housing Act? The court gave its answer on February 3rd, and the answer was no: the Act does not protect roommate searches."
" The home is the center of our private lives. Roommates note our comings and goings, observe whom we bring back at night, hear what songs we sing in the shower, see us in various stages of undress and learn intimate details most of us prefer to keep private…. [two paragraphs omitted] “Liberty protects the person from unwarranted government intrusions into a dwelling or other private places. In our tradition the State is not omnipresent in the home.” Lawrence v. Texas, 539 U.S. 558, 562 (2003).