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

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

If going through those steps revealed red flags, then I would have stopped the process.

,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.

In other places, it may even reveal enroachments.At least go as far as having the property lines verified and stake up some strings to show where the fence would go.That should send a message, I think...David J Dachtera

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).

But, it's good to be aware that may be a possibility.I would be careful about leading a tenant to specific information about legal remedies and what laws govern landlords, as revealed in the City of Greenville document. 

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.

Your vetting process at renter application should have revealed employers and such from each tenant.

Not that the studio tenant will reveal anything but that they may lie and say something to put something in his head that will have the buyer question the purchase.