Another lesson learned from this experience is to list some specific conditions in my lease, like that pest control is the tenant's responsibility if it's not HOA-related and that service calls for issues that are revealed to be the tenant's fault will be charged to the tenant's account.  

If he is an interested applicant see what else his financial story reveals to you.

Plus, it gives you a reason to deny - if they lie on the application, which gets revealed by the credit report.

,If litigation / investigation reveals that the application date of the person with animal is before the date of the application which is ultimately accepted, and no other conditions validate non-acceptance of the person with the animal, you could be held accountable for violations of the law.You'll want to contact a local attorney.

I notified a potential tenant via text that their application was denied after the $35 tenant screening service revealed an active, open bankruptcy (<6 months) (as well as two prior dismissed bankruptcy filings), a recent eviction filing and judgment (<6 months), two collection actions, and a prior but old criminal conviction (non-violent offense).

The tenant doesn't need to reveal to you specifics about their disability (and you can't ask) but you can require them to provide documentation from a qualified professional that they have a disability and that this specific animal is necessary as a reasonable accommodation for their disability.You can also establish guidelines to mitigate property risk and liability risk.

If you required the other tenants to reveal if they had a companion animal and fill out the animal's information on your forms, then this tenant should as well. 

If you don't want me to reveal your identity, I can do that too.  

Especially if the background checks and verification process reveals something that disqualifies the earlier candidate.

I just bought a 60watt equivalent GE reveal LEd lightbulb for $5 at Home Depot.