Is it forbidden for a young man to study "Diagnostic Medical Imaging," a specialty that often deals with images of female reproductive organs, given his need to complete his studies quickly to care for his sick father?

It is not advisable to enroll in this program, as it exposes you to 'awrat (private parts) unnecessarily. It is obligatory to lower the gaze and guard one's chastity. Hastening graduation is not considered a necessity. You can appoint someone or hire someone to serve your father. We appreciate your eagerness to serve your father and abide by the limits of Islamic law.