Is what a man said to his wife, "Aywa" (yes), considered a divorce, intending in his mind that she travel to her family in Egypt, meaning divorce, after he mentioned his desire to travel to Egypt and settle there?

Divorce does not occur except with an explicit utterance or an implicit one accompanied by intention. The word "aywa" (yes) is neither explicit in divorce nor among its implicit forms, because its meaning is "yes." Therefore, divorce does not occur with the aforementioned expression, and the wife remains under the husband's marital bond. It is advised not to indulge in excessive questions that may lead to obsessive thoughts.