I'd get complaints that other tenants were having sex too loudly. 

I publish my qualifications and they are the same for everyone. there is no such law any where in the USA that you can get sued for rejecting a convicted felony or a eviction in the past you cannot reject for color, sex, sexual orientation or religion and so forth just make your rules clear and they apply for all and you never end up in court for such a thing. by the way you cant just tell them you just changed your mind that mean if you rent the apt to someone else any time over the next month your going to court to fight for a discrimination charge. make your own rules and stick with them for all.

The Fair Housing Act has 7 protected classes: race, color, religion, national origin, sex, disability, and familial status.

I have a tenant (single female) on the 1st floor who has only been there a few weeks and has sex quite loudly around 2am when I am trying to sleep after putting in a 12-16hr workday.

As Marcia mentions, violent criminals are probably ones you would just decline automatically; I would add manufacture and /or distribution of controlled substances and sex offenders at a minimum - consider adding things where repeat offense is very likely or could result in serious trouble for you as the landlord. 

When I searched your link, it specifically states:"However, the landlord cannot base the difference in rent on the tenant's race, color, religion, sex, national origin, disability or family status.

They are contracted to find rental property for high level sex offenders.

-No felons/sex offenders/judgements/liens/collections.

Just one of those differences between the sexes.

Some things we have included that we have seen common include:Makes 3 times the amount of monthly rent paymentHas 3 or more good years of rental references Has no prior evictionsHas not made excessive late paymentsHave not filed bankruptcy or been foreclosed on in the last 5 yearsHas a good credit score (any one have any specific number they don't typically go below)Does not have any drug, violence, theft, fraud, capital or sex offender convectionsHas no breeches of leasesHas no history of damage to propertyMust be neat, clean, prompt and courteous Any one have any others they would add to the list?