Tenant is engaged after moving in. Fiancé has no credit

[Yan Guo]

Any experience on this situation that you can share? 

My current tenant is engaged last month and want to put her fiancé on the lease. Her fiancé submitted the application. It was found no credit, no previous rental history, very short employment history. I am going to reject him. 

My question is: if later on my tenant gets married to her fiancé and asks to move in, can I reject this guy again?