Wynonna Judd said she filed for divorce Tuesday from her estranged husband, Dan R. Roach, after his arrest in Texas on sex charges involving a minor.Roach was arrested Thursday in Abilene and charged with three counts of aggravated sexual battery against a child younger than 13, according to Nashville police.He was expected to be extradited to Nashville, said police spokesman Don Aaron. "I am obviously devastated," Judd said in a statement posted 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." The couple were married in November 2003. Judd said she cited irreconcilable differences as a reason for divorce. A copy of the filing wasn't immediately available. Roach had been receiving treatment for drug and alcohol addiction at a rehabilitation clinic in Buffalo Gap, Texas, since Feb. 21, Judd said.