What is the ruling of Islamic law on fertilizing the wife's egg with the husband's sperm externally, then extracting the genetic material from it and implanting it into an empty egg from a donating woman, knowing that the wife's egg suffers from a genetic defect that causes an energy deficiency disease, and that this method has become legally recognized in some countries?

The described method of conception is impermissible due to the potential for mixing lineages. Contemporary فقهاء (jurists) and the Fiqh Academy have prohibited the transplantation of reproductive organs and all methods of artificial insemination that lead to the mixing of lineages. They have only made exceptions for two cases: the fertilization of the wife's ovum with her husband's sperm externally, followed by its implantation in her womb, or the internal injection of the husband's sperm into the appropriate place in his wife's vagina or womb.