This also implies the animal is not necessary forever and the prescription should eventually be unnecessary.

Being that this is your first accepted offer, you could maybe use this an an exercise to get familiar with tenant screening as well.3) If you're not under contract yet, you typically don't begin to schedule inspection...

For me, screening is the one thing I hate the most.

If it’s a decent area I’d pass and wait for a better option... set screening parameters to avoid over thinking these kinds of concerns, if you choose no felonies, then draw a hard line.

@Charlie Moore simple put in govt tenants, its all about screening 

-Comprehensive Marketing and Advertising-Owner Deposit- No Delay Fund deposit to owner-Schedule Rent Increases-Recommend market rate rent cost-Strict tenant Screening & Selection-Monthly record Keeping/Statement-Cost-Effective and Reliable maintenance -Lease Law Compliance -Regular “Common Area” Inspection-24 Hour Online Access To Parking-Rent Collection-Lease Renewal (3 month notice)-New Tenant 60 day Inspection-Handle all tenant calls, emails, and texts-Owner Communication -Property up keeping including lawn care

The new tenants have paid $80 so far for all screenning, are highly qualified and really want the appartment.

You just have to make a reasonable effort and you can apply your normal screening standards. 

Then I screen the hell out of the tenants and only place people that can pay and won't be aggravating.

If it resulted from your screening it should not be discriminating in any part of it.