Screen applicants based on move in date?

[Stephen D.]

I know it's a liability to accept more then one applicant at a time but the first applicant we agreed at a lower rent and a Nov 1 move in. Now she says she wants a mid to late November move in. No lease has been signed or deposit taken. I have another prospect who will pay full rent plus be moved in by Nov 1. Do I open myself up to any lawsuit by taking in the additional applicant?

Can I put her on the no. 2 spot and take other applicants without repercussions?