Can I charge potential tenant w/judgments an extra monthly fee?

[Dante Pirouz]

We normally do not approve applicants with any court records of evictions or judgments. I have a tenant who makes a good salary and qualifies except for history of past court judgments for non-payment. Can we charge her an additional premium monthly on top of her rent for the additional risk? If yes, what do we call it? Security fee? Rent insurance fee?