The order by the 5th U.S. Circuit Court of Appeals reflects the court battles still ahead for abortion providers across the U.S. during the outbreak, even after clinics in Texas, Ohio, and Alabama secured at least partial triumphs Monday.

In Texas, U.S. District Judge Lee Yeakel of Austin had ruled the “Supreme Court has spoken clearly” on a woman’s right to abortion while blocking efforts by state Republican leaders to ban the procedure during the virus crisis. But that ruling is now on hold after the New Orleans appeals court said it needed more time to consider the case.

Governors across the country in recent weeks have issued executive orders halting nonessential medical surgeries to free up hospitals, and Republicans have said abortions should be included under those mandates. Texas Attorney General Ken Paxton said Tuesday’s development “justly prioritizes supplies and personal protective equipment for the medical professionals in need.”

Lawsuits have also been filed in Iowa and Oklahoma after governors in those states similarly ordered a stop to non-emergency procedures and specifically included abortion among them.

More coronavirus coverage from Fortune:

—China releases data on asymptomatic coronavirus cases—but doubts remain
—”It’ll never be fast enough”: 5 questions for a ventilator manufacturer
—Everything you need to know about furloughs—and what they mean for workers
—SBA small-business loans: 8 things to know about the Paycheck Protection Program
—The stock market had its worst quarter since 1987—and its worst Q1 ever
—How to job hunt during the coronavirus pandemic
—PODCAST: Two health care CEOs on why coronavirus tests and vaccines are the ammunition needed to fight COVID-19
—VIDEO: World leaders and health experts on how to stop the spread of COVID-19

Subscribe to Outbreak, a daily newsletter roundup of stories on the coronavirus pandemic and its impact on global business. It’s free to get it in your inbox.