A Catholic priest in Texas was arrested Thursday on allegations that he groped a woman while administering last rites, police said.

The Rev. Gerold Langsch, 75, of Austin, was charged with assault by contact in connection to the Oct. 5 encounter with the 60-year-old woman, who was suffering complications from diabetes.

He is free on $15,000 bond — and could be sentenced to a year in jail and fined up to $4,000 if convicted.

The victim was placed in hospice care because of renal failure, The Statesman reported. Her husband reached out to the Knights of Columbus about his wife’s illness, and the Catholic service organization said it would send a priest, according to the report.

Langsch went to the woman’s home to administer the sacrament of anointing of the sick. He allegedly anointed the woman’s chest with holy water — and then began to apply lotion, massaged her breast, pinched her nipple and asked, “Does that feel good?,” according to the arrest affidavit.

Then he tried to slip his hand into the woman’s diaper but was unable to, according to the affidavit.

The woman, who is still alive, told police that the incident left her feeling like a “nasty, dirty piece of meat.”

She reported the incident to police five days later, and on March 13, she picked the priest out of a lineup, The Statesman reported.

The Catholic Diocese of Austin said in a Wednesday statement that Langsch served as pastor of St. Paul Catholic Church in the city until last month, when the diocese “received an unrelated report that he had failed to maintain proper boundaries with an adult.”

Although that report did not involve any physical conduct, the diocese removed the priest from his post — and barred him from serving as a priest in the diocese.

The diocese said it would fully cooperate with police and asked that anyone with additional information contact authorities.

Langsch’s LinkedIn profile lists him as a member of the Schoenstatt Fathers, based in Waukesha, Wisconsin — serving for nearly 46 years.