Does a divorce issued with the intention of a revocable divorce, and communicated to the wife via WhatsApp and to her father by phone, take effect? Is it considered a revocable or an irrevocable divorce? What are the wife's legitimate entitlements in this case?

What you wrote and said to your wife's mother is considered a kinayah (allusion) of divorce, and divorce occurs with it if you intended it. You mentioned that you did intend it, so the divorce has taken place. The default is that the divorce is revocable, unless this was the third divorce or it was ruled by a judge. We emphasize the necessity of fearing Allah and that the wife's family should not interfere between the spouses in a way that corrupts the relationship, and that the husband's right should be prioritized over that of her parents. In the case of a wife's nushuz (disobedience), the Quranic steps for addressing it should be followed. Finally, one must be wary of anger and strive to control oneself.