Watch: Joseph Duggar's Wife Kendra Duggar Charged After His ArrestContent warning: This story discusses child sexual abuse. Joseph Duggar's wife Kendra Duggar is also facing criminal charges following his arrest. The 27-year-old was arrested on March 20 and charged wIth four counts of endangering the welfare of a minor in the second degree and four counts of false imprisonment in the second degree, according to jail records viewed by E! News.