I understand what she was doing.
I don't have a problem with insurance paying for contraception. There are many medical reasons for prescribing 'The Pill' other than contraception.
I don't have a problem with public service organizations (even if they are owned by a religious group like the Catholic Church) being required to comply with the law preventing discrimination toward protected classes, which the basis of sex is a protected class. I do have problem with the government infringing on First Amendment Rights of religious groups that are not providing a public service.
As for me paying for it? No.