If you have other applicants, you can choose someone else, but you can't reject an applicant because of the service animal(s), as that would be discriminatory and against the Fair Housing Act and other laws.

I like the fact that the majority of my work generally comes during the leasing period when I show the units and screen applicants.

It looks convenient where I can fill out form online to complete the application. 

Let’s look at the impact those last two have had on the time it takes to deliver a new home (or apartment building).Stages in New Home ConstructionApplication for Construction PermitPermit Approval (2–12 months after application depending on where/what you want to build)Start (2.8 months after approval for MF, 1.3 months after approval for SFH)Under ConstructionCompletion (17 months after start for MF, 8.3 months after start for SFH)What does this mean?

Especially if the applicant has a fairly common name. 

(For the application or the actual lease. )We were used to doing a standard Texas Realtor Residential lease.

Check your local (city) municode to see applicable zoning rules/permitted uses.

Finding out that within the "Historic Core" zone, special use application is available to fill out and must be submitted for approval.

Did she write 'prostitute' on her application?

(A) For an accessory dwelling unit described in subparagraph (A) of paragraph (1) of subdivision (e), a local agency, special district, or water corporation shall not require the applicant to install a new or separate utility connection directly between the accessory dwelling unit and the utility or impose a related connection fee or capacity charge, unless the accessory dwelling unit was constructed with a new single-family dwelling. home."