My Wife And I Are Not Close, Can I Start A New Relationship?

In this episode Dr. Betters answers the question, "I have been married for almost 23 years and have 2 very brilliant and successful daughters, however, my marriage has not been that successful we have had continual problems due to lack of trust, family problems and worst we have no sexual relations nor any closeness with each other, my wife has always practiced one type of behavior which is ""if she doesn't get things her way then she cuts off"" by the way am also applying to her the same, at this point is it right to start a relation with another woman since this marriage is not and will certainly not succeed."