According to AL.com, the woman - known only as Jane Doe in the federal lawsuit - knew she was pregnant before she was arrested and had been seeking an abortion, the lawsuit goes on to claim.
She is early in her first trimester of the pregnancy and does not know her release date, but it could be several months away, according to an affidavit filed with the court.
The lawsuit continues to explain that Jane Doe wanted a temporary release from jail to visit an abortion clinic in Huntsville, Alabama.
She offered to pay for the procedure herself, and was happy to be accompanied by guards to the clinic.
However, when she filed her request with Sheriff Singleton, he came back with this response:
"It is the policy of this office that all non-emergency services are provided through our medical staff at the jail.
"Your request cannot be handled by our staff and on its face, it does not constitute a medical emergency."
Jane Doe is now suing for the right to have an abortion.
Speaking in the affidavit, she said: "I am very distraught, and do not want to be forced to carry this pregnancy to term.”
The lawsuit also argues that the woman has the right to terminate her pregnancy is guaranteed under the constitution and to deny that right would be cruel and unusual punishment of a prisoner.
It states: "Time is of the essence when seeking access to abortion.
"Not only do the risks and costs increase as the pregnancy progresses, but a woman's right to abortion will evaporate altogether if she is pushed passed the legal limit for an abortion."
Sheriff Singleton declined to comment on the case to WSFA-TV.