Of course, don't discriminate on sex, but just keep it in mind. 

This is directly from the HUD site: In the Sale and Rental of Housing: No one may take any of the following actions based on race, color, national origin, religion, sex, familial status or handicap. 

In addition, exemptions apply to housing operated by organizations and private clubs that limit occupancy to members, and statements indicating a preference for same-sex roommates in shared living situations.

This site allows users to search by demographics. https://zipwho.com/Stats about all US cities - real estate, relocation info, crime, house prices, schools, races, income, photos, sex offenders, maps, education, weather, home value estimator, recent sales, etc. www.city-data.com/For a  List of the best performing cities visit: http://www.best-cities.org/Hope that helps too.

Originally posted by @Bao C.

You can discriminate and ask for only a particular sex, only a certain religion, etc.I would personally try to find someone of generally the same background, age, income, and temperament as yourself.

Being on probation for recent sex crimes is. 

I've also thought that a urinal would be a pretty cool signature piece to put in rentals or flips, (though likely targeting the wrong sex).

I really didn't care if the tenant dusty furniture, or a box of sex toys next to their bed.  

Who said mortgage fraud had no sex appeal?