New Landlord- Screening/Applicant Question

[Haley McLaughlin]

Hi everyone. I will be renting out my first SFH and have multiple interested parties. There is an open house next weekend Jan 9-10. I won't be doing any private showings because of my schedule. Someone has already applied sight unseen and wants to move in "ASAP".

Should I process the application before the open house? If she meets all my qualifications should I grant her tenancy and cancel the open house? Just trying to get a feel for this situation. Don't want to get into any fair housing complaints and I also don't want to prevent anyone else from applying. 

Haley