Getting your credit checked will not impact your credit score. This is one of the things that makes Rentler such a valuable tenant screening service.
Since the rental applicant initiates the release of his or her own data, the resulting inquiry is considered a "soft inquiry," which does not impact his or her credit score.
On the other hand, when a landlord initiates a credit check on a rental applicant outside of Rentler, it results in a "hard inquiry" on the applicant’s credit report which can negatively impact his or her overall score depending on other variables. (This is similar to the process involved when a consumer applies for a loan or a credit card.)