Small Business Hardship Relief Act - Amends the Internal Revenue Code to exempt from the employer mandate to provide minimum essential health care coverage for its employees a small business (i.e., an employer of not more than 100 full-time employees) experiencing a hardship. Defines "hardship" to include situations in which a small business has missed two or more consecutive loan payments, is a debtor in a Chapter 11 (reorganization) bankruptcy proceeding, has received a notice of termination of utility services or a notice of eviction, has experienced a fire, flood, or other disaster, or has experienced another hardships as determined by the Secretary of the Treasury. Directs the Secretary to conduct a study to identify additional hardships appropriate for granting an hardship exemption.

Prohibits the Internal Revenue Service (IRS) from taking into account the applicability of a hardship exemption to a small business as the sole factor in determining whether to audit such business.