Protect Women's Health From Corporate Interference Act of 2014 - Affirms requirements, notwithstanding the Religious Freedom Restoration Act of 1993, that: (1) an employer that establishes or maintains a group health plan for its employees must provide coverage of a specific item or service for the employees or their dependents where the coverage is required under federal provisions or regulations pursuant to those provisions; and (2) group health plans sponsored by an employer or employee organization, and any health insurance coverage, must provide coverage required under the Public Health Service Act, including preventive health services.

Authorizes the Departments of Labor, Health and Human Services (HHS), and the Treasury to modify regulations concerning coverage of contraceptive services by group health plans of religious employers consistent with the purposes and findings (regarding coverage of birth control services and the Supreme Court decisions in Burwell v. Hobby Lobby Stores, Inc. and Conestoga Wood Specialties Corp. v. Burwell) of this Act.