Yeah, most therapists will ask for a 'commitment' of at least 6-8 visits before giving up because it just takes that long to develop a rapport and for you to get your story out.
Just from what you've posted I've seen two possible goals:
1) You want to work through your feelings about your AH's addiction/recovery issues and explore how your relationship with your father may be affecting your perspective (?)
2) You want a new direction in your life that may mean letting go of important relationships (?)
That might be a good starting place for you!