Even if you do manage to find a psychiatrist or therapist to listen to you monologuing, it still won't be the familiar TV fare about dreams and secretly wanting to bone everyone in your family. Concepts like Oedipus complexes, repressed urges and psychosexual stages -- in other words, the 1920s-era psychology of Sigmund Freud -- are now viewed by most psychiatrists and mental health professionals as about as scientifically valid and useful as Freud's cocaine use. These days, between 75 and 90 percent of psychiatric practice is based not on talking about your problems, but on drug therapy. When you do get to talk to somebody, you'll find they prefer "evidence-based" treatments like cognitive behavioral therapy, a short-term treatment that focuses on changing unhealthy behavior and thought patterns.
So if you want to tell someone about your weird sex dreams for an hour without being arrested, you might be better off seeking out a homeless person instead.