Wynonna Judd filed for divorce Tuesday from her estranged husband, less than a week after his arrest in Texas on sex charges involving a minor.

Dan R. Roach, 49, was arrested Thursday in Abilene and charged with three counts of aggravated sexual battery against a child younger than 13 in Nashville, police said.

He was expected to be extradited to Nashville, said police spokesman Don Aaron. It wasn't known if he had an attorney.

"I am obviously devastated," the 42-year-old country singer said in a statement on her Web site. "Our family will pull together, begin the healing process and hopefully -- by the Grace of God -- become stronger. We will move forward with our faith, family and our friends to find resolution to this difficult situation."

Aaron said an investigation by the department's sex crimes unit started in February.

Judd cited irreconcilable differences as a reason for divorce in the complaint filed in the Nashville suburb of Williamson County. The couple, who were married in November 2003, have been separated since Feb. 18, according to the complaint.

Roach had been receiving treatment for drug and alcohol addiction at a rehabilitation clinic in Buffalo Gap, Texas, Judd said.

The couple have no children. Judd has children from a previous marriage.

Judd has sold nearly 30 million albums as a solo artist. She sang with her mother, Naomi Judd, as the duo The Judds. Her solo hits include "No One Else on Earth" and "I Saw the Light."

Her sister is actress Ashley Judd.