What is the ruling on a male embryologist working and assisting the doctor in transferring embryos to the womb, which entails the uncovering of grave awrah (private parts), in cases where female staff are unavailable or the patient does not request it?

The fundamental principle is that a woman should not seek medical treatment from men, especially in cases involving the uncovering of 'awrah (private parts). The prohibition becomes even stronger when it involves the uncovering of the severe 'awrah. If a female doctor is available, even if she is a disbeliever, it is not permissible for a woman to go to a male doctor, and doing so would be a sin and an act of disobedience. Therefore, women who undergo these procedures with male doctors, despite the availability of female specialists, are sinful, and it is not permissible for a man to accede to them in such cases.