All perfect praise be to Allaah, The Lord of the Worlds. I testify that there is none worthy of worship except Allaah, and that Muhammad is His slave and Messenger.
The question is not very clear to us as we did not understand what you meant by the letter of Khul’, but if what happened is that you conditioned the Khul’ of your wife upon her going to India while intending by this to divorce her and you did not mention any compensation, then the answer is that if a husband utters Khul’ without compensation, then it is a metaphor of divorce as stated by Ibn Qudaamah in “Al-Mughni” as he said: “If he [the husband] utters it [Khul’] without compensation and he intended divorce, then it is a revocable divorce as this can be a metaphor of divorce but if he did not intend divorce with it, then it does not lead to anything. This is the view of Imaams Abu Haneefa and Ash-Shaafi’i, because if the Khul’ is an invalidation of the marriage contract, then the husband has no right to invalidate the marriage contract except in case she [the wife] has a defect that affects the marriage contract.”
Therefore, if you had intended to initiate divorce if she left (to her home country) without your permission, then divorce takes place if what you conditioned divorce on happens, but if you did not intend divorce with it, then divorce does not take place.
If we presume that divorce took place, then if this is not the third divorce, the divorce is revocable and you can take her back as long as she is in her waiting period. If you had sexual intercourse with her while she is in her waiting period, then this is a valid taking back of a wife after divorce. This is because some scholars are of the view that having sexual intercourse with one’s wife in her waiting period is considered as having taken her back.
In any case, since there is some ambiguity in the question, then it should be mentioned that the answer may not be in conformity with the question, so you should not rely on this answer unless you make sure that this Fatwa exactly applies to your situation.
Also, it should be noted that it is not permissible for a wife to leave her husband’s home without his permission and if she left it without him giving her permission, then she is a disobedient wife.
Indeed, the Sharee’ah clarified the steps to undertake in dealing with a disobedient wife; in this regard please refer to Fatwa 85402.
Allaah Knows best.