Statements That Potential Renter's say that make you nervous too?

[Jenny Milu]

I'm new at this, so please be kind! 

This is my first MTR and only rental at this time, I had one set of traveling nurses who were awesome and I just got a call from a second potential renter, yay! The unit has been vacant for almost two weeks now and of course I'm getting nervous and feeling all sorts of inadequate with no leads in sight! On the phone, the renters wife made a comment like "It's not like we've had a history of not paying rent before so you don't need to be worried" and I wasn't worried... until that comment made me second guess. 

I have what I feel like all the proper precautions in place of background / credit /  employer and previous landlord checks in place... and I'm waiting to get the information from the potential tenant to start the verification process... Does anyone else struggle with similar feelings? Does it just take time? Any suggestions, comments, and encouragement is welcomed!