Final answer:
Continuous electronic fetal monitoring is contraindicated for a patient using hydrotherapy during labor due to the electrical nature of the monitoring equipment and its lack of compatibility with water.
Step-by-step explanation:
The type of fetal heart monitoring that is contraindicated for a patient using jet hydrotherapy during labor is Continuous electronic fetal monitoring (A). This method typically requires equipment that is not conducive to use in water due to the electrical components and the necessity for continuous data transmission that cannot be reliably maintained with the presence of water. Internal methods like scalp electrode monitoring (C) and internal uterine pressure catheters (D), while also electrical in nature, are primarily contraindicated due to the risk of infection when the membranes are ruptured and are not specifically related to hydrotherapy. Intermittent auscultation (B) could still be used as it generally involves using a hand-held Doppler device which can be operated remotely from water.