Craft store giant Hobby Lobby is bracing for a $1.3 million a day fine beginning January 1 for noncompliance with the Patient Protection and Affordable Care Act, dubbed Obamacare.

The company opposes providing some contraceptives to employees through its company health care plan on religious grounds, saying some contraceptive products, like the morning after pill, equate to abortion.

After failing to receive temporary relief from the fines from the Supreme Court, Hobby Lobby announced late Thursday through its attorneys that it "will continue to provide health insurance to all qualified employees. To remain true to their faith, it is not their intention, as a company, to pay for abortion-inducing drugs."

In September, Hobby Lobby and affiliate Mardel, a Christian bookstore chain, sued the federal government for violating their owners' religious freedom and ability to freely exercise their religion.

"All they're asking for is a narrow exemption from the law that says they don't have to provide drugs they believe cause abortions," Hobby Lobby attorney Kyle Duncan, a general counsel for the Becket Fund for Religious Liberty, told CNN affiliate KFOR in November. "Our basic point is the government can't put a corporation in the position of choosing between its faith and following the law."

The lawsuit says the companies' religious beliefs prohibit them from providing insurance coverage for abortion inducing drugs. As of August 2012, the Patient Protection and Affordable Care Act requires employer-provided health care plans to provide "all Food and Drug Administration approved contraceptive methods, sterilization procedures, and patient education and counseling for all women with reproductive capacity," according to the U.S. Department of Health and Human Services.

Churches and houses of worship are exempt from the regulation and a narrow exemption was added for nonprofit religious employers whose employees "primarily share its religious tenets" and who "primarily serve persons who share its religious tenets."

In the face of that opposition, the Department of Health and Human Services tweaked its original rule in February to require health insurers, not employers, to cover the cost of contraception coverage, reasoning that would prevent religious groups from having to finance such coverage. Critics have argued that exemption for nonprofits is far too narrow and a host of nonprofit religious groups have sued the administration over the regulations.

The Internal Revenue Service regulations now say that a group health care plan that "fails to comply" with the Affordable Care Act is subject to an "excise tax" of "$100 per day per individual for each day the plan does not comply with the requirement." It remains unclear how the IRS would implement and collect the excise tax.

The Oklahoma City, Oklahoma, based Hobby Lobby chain has more than 500 stores that employ 13,000 employees across 42 states, and takes in $2.6 billion in sales. The company's attorneys say January begins a new health care plan year for Hobby Lobby and that excise tax from the IRS would amount to $1.3 million a day.

Hobby Lobby is owned by CEO and founder David Green and members of his family. "The foundation of our business has been, and will continue to be strong values, and honoring the Lord in a manner consistent with biblical principles," a statement on the Hobby Lobby website reads, adding that one outgrowth of that is the store is closed on Sundays to give its employees a day of rest. Each year the company also takes out full-page ads in numerous newspapers proclaiming its faith at Christmastime and on Independence Day.

The store is not formally connected to any denomination, but the Green family supports numerous Christian ministries and is behind the Green Collection, one of the largest private collections of biblical antiquities in the world. The family plans to permanently house the collection in Washington at a museum set to open in 2016.

On Friday, attorneys for Hobby Lobby petitioned the Supreme Court to intervene and provide temporary relief from the the fines until the case was decided by the U.S. 10th Circuit Court of Appeals in Denver.

Wednesday evening, Justice Sonia Sotomayor, who handles emergency appeals from the 10th Circuit Court, said the company failed to meet "the demanding standard for the extraordinary relief," and that it could continue to pursue its challenge in lower courts and return to the higher court, if necessary, after a final judgment.

"Hobby Lobby will continue their appeal before the 10th Circuit. The Supreme Court merely decided not to get involved in the case at this time," Duncan said in a statement.

A spokesperson for the Justice Department declined to comment on the high court's move.

White House officials have long said they believe they have struck an appropriate compromise between religious exemptions and women's health. The White House has not commented specifically on the Hobby Lobby case.

"It's just so sad that Hobby Lobby is facing this choice. What company, even a successful family owned business like Hobby Lobby, how can they afford the government $1.3 million in fines every day? It's just really absurd that government is not giving on this," said Maureen Ferguson, a senior policy adviser for the Catholic Association. Religious liberty groups like hers are watching the Hobby Lobby case closely.

"I am optimistic that these cases will eventually snake their way back up to the Supreme Court and given a full hearing on the merits of the case, I am confident that the Supreme Court will rule in favor of religious liberty," Ferguson said. "But in the meantime there is serious damage being done to businesses like Hobby Lobby and nonprofit charitable organizations."

The Hobby Lobby case is just one of many before the courts over the religious exemption aspects of the law. The case represents by far the biggest for-profit group challenging the health care mandate.

After this piece of the law went into effect in August, religious nonprofits were given "safe harbor" of one year from implementing the law. "In effect, the president is saying we have a year to figure out how to violate our consciences," Cardinal Timothy Dolan, the Archbishop of New York, said in January when the administration announced the move.

Dolan's New York Archdiocese won a victory this month in its legal battle against the administration and the mandate. In May it sued the government in federal court in Brooklyn over the mandate, saying it "unconstitutionally attempts to define the nature of the church's religious ministry and would force religious employers to violate their consciences."

The government moved to have the case dismissed. On December 4, Judge Brian M. Cogan denied the government's motion to dismiss the case, saying the government's promise of changes to how it will implement the law were not enough to merit dismissal. "There is no, 'Trust us, changes are coming' clause in the Constitution," Cogan wrote in in his decision to let the case proceed.