What should I do about my wife's request for divorce after she discovered my second marriage and accessed private information from my phone while I was asleep, knowing that I do not want to divorce her but cannot accept her behavior?

You must deal with your wife gently and wisely, and explain to her that her spying on you is impermissible, and that your marriage to another woman is not a justification for her to seek divorce. Divorce is not a trivial matter, especially with the presence of children. If she does not respond, then involve a wise or righteous relative to speak with her. Consider her jealousy, for women are naturally disposed to it, and overlook her slips; for a jealous woman may not be aware of what she utSays.

If she retracts her request for divorce, then live with her honorably and forgive her transgressions. If she insists on divorce after all means of reconciliation have been exhausted, then there is no blame upon you for divorcing her or accepting a khul' (divorce at the wife's request in exchange for compensation).