Due to a dispute between me and my wife's family while she was staying with them, I divorced her one time in a fit of temper. It should be noted that I have children from her.
I took her back in marriage on the same day in the presence of three witnesses. It was the first time for me to divorce her and it was not in return for granting her Khul` (divorce at the request of the wife in return for compensation to the husband). She is still in the period of `Iddah (woman's prescribed waiting period after divorce). Does she become lawful for me?
(Part No. 20; Page No. 46)
You mentioned in your question that when you divorced her you were in a fit of temper. If you have righteous witnesses to support your claim, this will not be considered a divorce. Otherwise, you have divorced her one revocable divorce. Therefore, taking her back in marriage during her `Iddah is valid and you do not have to conclude a new marriage contract and you do not need her approval. May Allah grant us success. May peace and blessings be upon our Prophet Muhammad, his family, and Companions.