A religious order of nuns is concerned about its future presence in the United States because of Obamacare’s impact on its charitable operations. The Little Sisters of the Poor told The Daily Caller that it may not qualify for a long-term exemption from Obamacare’s healthcare mandate. The law requires the order to provide government-approved health insurance to its 300 sisters who tend to the elderly in 30 U.S. cities.

The exception is needed, said Sister Constance Carolyn Veit, the Little Sisters’ communications director,...