Here is Adam Liptak's coverage in the New York Times today. Liptak does not mention the particular burdens the law places on rural women, but he highlights the challenge that two provisions of the Texas law (H.B. 2) have created for women in South and West Texas, quoting from the brief:
Other parts of the law have already caused about half of the state’s 41 abortion clinics to close. If the contested provisions take effect, Wednesday’s filing said, the number of clinics will again be halved.
The remaining clinics, the brief said, would be clustered in four metropolitan areas: Austin, Dallas-Fort Worth, Houston and San Antonio.
“There would be no licensed abortion facilities west of San Antonio,” the brief said. The only clinic south of San Antonio, in McAllen, it added, would have “extremely limited capacity.”My prior posts about this topic are here, here and here.