Update: Gov. Greg Abbott released a brief statement saying Texas law defines marriage as a union between a man and a woman.
Abbott said he is committed to ensuring "the rule of law" is upheld. During his campaign for governor, Abbott made clear he opposes gay marriage while remarking that there are "well-meaning people" on both sides.
Attorney General Ken Paxton has asked the Texas Supreme Court to invalidate the order that allowed the couple to marry.
Paxton on Thursday requested that the Texas Supreme Court act on his emergency motion "within the hour."
The filing came mere hours after Travis County officials married two women who received a one-time court order from a state district judge. County officials say one of the women has "severe and immediate health concerns."
Suzanne Bryant and Sarah Goodfriend filed a petition against Travis County Clerk Dana Debeauvoir based on an order handed down Tuesday by probate Judge Guy Herman that declared Texas' gay marriage ban unconstitutional. Judge David Wahlberg ordered Thursday in favor of the couple's petition, which asked Debeauvoir to issue a license to the couple.
Texas voters approved a constitutional ban on same-sex marriage in 2005. A challenge to the law is currently before a New Orleans federal appeals court.
Paxton said the appeals court has recognized that "race to the courthouse" serves the interests of no one while the case remains under review.
Read Paxton's official press release.