Is writing the bride's name on the wedding invitation card considered publicizing or a breach of chivalry (muru'ah)?

There is no harm in mentioning the wife's name; indeed, the Prophet, peace and blessings be upon him, mentioned Aisha and Fatima, may Allah be pleased with them both. Thus, writing the wife's name on the invitation card is permissible, but leaving it out for the sake of modesty is better.