Abortion Non-Discrimination Act of 2003 - Amends the Public Health Service Act to prohibit the Federal Government, and any State or local government that receives Federal financial assistance, from discriminating against any health care entity because (in addition to current prohibited reasons) the entity refuses to provide coverage of, or pay for, induced abortions. Expands the definition of "health care entity" to include (in addition to physicians) other health professionals, a hospital, a provider sponsored organization, a health maintenance organization, a health insurance plan, and any other kind of health care facility, organization, or plan.