The duchess has been estranged from her father since 2018.
Markle appeared Tuesday before a federal magistrate judge in Tampa. The judge refused bond, ordered a medical evaluation, and said Markle"must receive all necessary and prescribed medication unless discontinued by a physician.".
Prosecutors said he took off the monitor early that morning. He had been required to wear the device after his arrest last week.
At that earlier hearing, no plea was taken. The court set conditions for pretrial release, including house detention in Florida and location monitoring.
Markle, who has denied possessing images of child sex abuse, was arrested in Florida last week and placed under house detention.
The department said he had rented the units since 2008. The last payment was made in October this year.
Agents seized about 78 items from the units, including film negatives, slides and books that they allege contained child sex abuse material.
He was reportedly learning to walk again in Florida after having a leg amputated.
In a statement, she said:"My thoughts are with any children who may have been harmed."She said she hoped it could be understood why she had largely cut off contact with her father and did"not allow him to have contact with our children.".
The BBC reported that it understands she broke off contact with him last year, telling him that she and the authorities knew he had abused young girls.