Third District Judge Randall Skanchy also ordered that Fernando Orozco-Trevizo, 32, be deported to Mexico.
Prosecutors contend Orozco-Trevizo beat and choked his girlfriend and chained her to the engine block with a 20-foot chain and padlock to prevent her from leaving.
The woman was rescued in December after a neighbor saw "Call 911" written in the condensation on a window.