Talaqnama Papers By Husband To Wife

My wife does not want to stay with me at any cost. She has told me and my family multiple times. But due to her family and pressure by her parents, she does not tell them straightforward that she does not want to stay. Even I do not want to stay. In this case, can I just send her the talaq nama papers as I do have one or two valid points for divorce which I feel are very strong and enough to end this marriage. One of those points is that her family is pressuring her even though she does not want to stay which is causing fear inside of her. The second reason for divorce is that she has out of sheer carelessness, she has exposed our secret husband and wife matter and what we do in the bedroom and told this to her father and her father had exposed everything in front of the women of the family. Our entire family respect was shattered due to sheer immaturity and carelessness of them. I am just thinking of sending the talaqnama papers as per the Muslim law.