“Patients are walking through the door, they are crying — they are freaking out,” said Amy Hagstrom Miller, chief executive of Whole Woman’s Health, which operates six abortion facilities in Texas and, she said, expects to close locations in Fort Worth, McAllen and San Antonio. “We can’t stay open without any sources of income.”…

On Friday, patients came into the clinic for counseling and sonograms. “They were all quite desperate and scared,” he said. Some told him they would travel to Houston, more than 300 miles away; others told him they would go to Mexico, where abortion-inducing drugs are widely available at pharmacies.

At Planned Parenthood, a spokesman, Eric Ferrero, said that four of the organization’s health centers — in Austin, Fort Worth, Lubbock and Waco — would not be able to provide abortions under the new rules, but that those clinics will keep their doors open to provide other health services. The groups said they would continue to fight the Texas law. “This is far from over,” Mr. Ferrero said.