When selecting a tenant, there is more than meets the eye. You should do a credit check and a criminal background check. However, more often than not, the credit score may not be that great. Look further, see what caused that. If there was a prior eviction, then, of course, do not rent to them. If they did not pay their utilities, do not rent to them. However, if it is a credit card that was past due, see what it was all about. Sometimes the tenant has good character and made poor choices with their credit card.
The reason for not renting to someone who has been evicted or not paid their utilities shows absolute disregard for having any level or responsibility for the most important fiscal priorities in life and that in and of itself shows poor character.