Is it permissible for a woman to be treated with acupuncture in the lower abdomen area near the pubic region if the doctor is a non-Muslim?

The mentioned area is considered awrah (intimate part) that should not be seen or touched by anyone other than the husband, except in cases of compelling necessity. If a woman is compelled to remove or reduce fat, she should seek treatment from a Muslim female doctor. If unavailable, then a non-Muslim female doctor. If still unavailable, then a Muslim male doctor. If still unavailable, then a non-Muslim male doctor. It is a condition, when being treated by a male doctor (Muslim or non-Muslim), that a person be present to prevent khalwah (unlawful seclusion).