What is the ruling on performing an IVF procedure with a Christian doctor after several failed attempts with Muslim doctors, knowing that both spouses have health issues?

A Muslim woman is not permitted to uncover herself except for a legitimate purpose. Treatment should be sought in the following order: a Muslim woman, then a non-Muslim woman, then a trustworthy Muslim male doctor, then a non-Muslim [male doctor]. Solitude between the treating physician and the woman is not permissible unless her husband or another woman is present. It is not permissible to have a surgical procedure performed by a non-Muslim doctor if there is another [Muslim doctor available], unless the non-Muslim is more competent, with the commitment to avoid seclusion.