I would deny this applicant.Sure, anyone can lose their job, but this tenant is telling you up front that she won't have an income in a couple months.  

Landlords who don’t want tenants who are going to mug their neighbors or deal drugs will now be treated as racists and potentially sued.Last week, the Department of Housing and Urban Development issued new guidelines to landlords, warning that bans against renters with criminal convictions violate the Fair Housing Act because they disproportionately affect minorities.In effect, the Obama regime is now outlawing criminal background checks for apartment rentals, even though such screening is critical for the protection and security of tenants and property, and serves a legitimate business need.In a newly released 10-page missive, HUD warns landlords they can be held liable for discrimination if they deny housing over criminal records.

Now, you as a landlord maybe the nastiest racist white trash on the planet, or you maybe the most even handed Democrat voting metrosexual attempt of a man, if you disregard the eviction record of two white tenants, how do you justify denying the third application from a black man that was evicted at some point?

I denied applicants who didn't have personal checking accounts.  

., they cannot deny service because the previous occupant left a bill. 

All things I normally denied for - relative for a reference and bad credit.But, she offered her mother as a co-signer, who no doubt wanted her grown daughter and the kid out of her house.So, daughter moves in, mother pays the rent on time.  

The only benefit for me in her being a support animal, is that I don't have to pay a pet deposit.If it was me, anyway, I would deny based on too many animals, that you only allow one support animal.

It also makes it easier to deny them when they don't meet these qualifications. 

The listing agent denied any knowledge of the issue (of course).

So, if you can find tenants who don't require a legal support animal that is a cat, I'd deny them - unless you just can't get the unit rented otherwise.