Evidence suggesting a courteous person who is generally clean and well kept in appearance, and demonstrates truthfulness, reliability and follow through on and during the application process.At landlord’s discretion, compensating factors such as an additional security deposit or co-signer (guarantor) may be required for qualification if Applicant fails to meet any one of the above requirements.

Tenant should have at least one recent Landlord reference with the animal so you have evidence their animal doesn't tear the place up or pee everywhere.

I don't see any evidence of visible mold.

I might leave the evidence or take a picture in case they state (as they will) that they never do that.

Combine this with evidence that the property has been abandoned: disconnected utilities, tenant moved out, most possessions removed etc.

It took me months to find the out-of-state owner on a property next to mine because the property manager would do nothing and police would do nothing because when they came by when called they said there was no evidence to go further.  

Do you plan on ripping out walls and floors to dig for evidence, thus incurring damage charges?

There is no one particular piece of evidence that I'm aware of (outside of perhaps a timestamped/geo-tagged video showing the tenant smoking in the unit lol)  that would guarantee you'll successfully collect in the event you do go to court. 

In Oklahoma City, the utility companies may provide relief if you show evidence that a leak was repaired.

Unless there's evidence of landlord neglect, this would be a tenant responsibility. burnout lights are a tenant responsibility unless there's an electrical issue, at which point she should have reported it to you.I think it's 100% the Tenant's responsibility.