@Jann3 I disagree. @Noel19 has the legal right to decide who she rents to IF, and only if, she lives in the dwelling.
A person can be selective based on gender when it is a roommate situation (or if a host is sharing a home with a guest).
Any person looking for a roommate (or guest) is allowed to be selective based on sex **IF** the dwelling is shared. This is not a violation the US Fair Housing Act. It does not constitue illegal housing discrimination.
A landlord advertising or renting a property to a person or persons cannot discriminate based on sex under the law. Doing this kind of thing is illegal and will get anyone into lots of problems.