What is your advice to me concerning my wife, who behaves in ways that I do not approve of, and should I divorce her or be patient with her?

Your wife has committed forbidden acts by speaking with her male cousin, going out without your permission, and intermingling with non-mahram men. These actions categorize her as disobedient (nashiz). However, do not hasten to divorce her. Instead, follow the Sharia-prescribed steps to address disobedience. If she does not respond, then appoint an arbiter from your family and an arbiter from her family.