Wa `alaykum As-Salamu wa Rahmatullahi wa Barakatuh
This procedure is not allowed in Islam. You cannot take out the egg from the 2nd wife to be implanted in the womb of the 1st wife:
For details, let me cite here one of my earlier answers on this issue:
Scholars and jurists have discussed this issue, which is most commonly known as in-vitro fertilization, and they have concluded that it is perfectly acceptable within the boundaries of marriage to do so. In other words, it is permissible so long as both the sperm and egg involved in the procedure come from the SAMEmarried spouses. Thus, if the husband’s sperm is extracted and it has been fertilized with the egg of the spouse inside a test tube, and then it has been implanted into the spouse’s womb for conception, that is perfectly acceptable according to the teachings of the Shari`ah.
While approving the above method of conception, scholars have unanimously condemned the procedure in case a third party is introduced into the equation: That would be the case if either the sperm or egg involved in the above process were obtained from either man or woman who is not related to each other in marriage.
Almighty Allah knows best.
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