Is a wife entitled to intervene in her husband's excessive interest in the computer and his desire to establish relationships with girls with the intention of "da'wah" via Facebook, and are her jealousy and actions considered spying?

Jealousy is a natural human emotion, but if it exceeds moderation, it is blameworthy. Spying is forbidden and not permissible except in certain circumstances. If a wife sees her husband committing a wrong, she is obligated to forbid him from it, but she does not have the right to discipline him. If the husband is engaging in relationships with foreign women under the pretext of inviting them to Islam, this is a deception from Satan, and he must fear Allah and sever these relationships. The wife should advise him gently, and beware of disputes and discord. She should seek Allah's help, strive to be a good wife to him, not fall short in fulfilling his rights, and supplicate for him in his absence.