Yes, there is an objection to this. In fact, this is Haram (prohibited) because it involves
Ajanib (men other than a husband or permanently unmarriageable male relatives), especially non-Muslim men, seeing the `Awrah (parts of the body that must be covered in public) of Muslim women in labor without any necessity for this - as it is possible to have female nurses to carry out this task instead. It is not permissible for any Muslim woman to put herself in such a situation. Rather, she should try hard to receive treatment or give birth in a private hospital or clinic to preserve her religion and not to expose herself to what may cause her shame or damage her honor.May Allah grant us success. May peace and blessings be upon our Prophet Muhammad, his family, and Companions.