Yes, the height is good. I did not know you had so little wall but you are at a good starting point. As long as the cabinet is flat against the wall the woofer will see it as as a baffle extension. Note, you are already so close to the corner you may get a noticeable bass peak. If the right (or left) side of the cabinet is within a woofer diameter of your window wall it will behave as if placed in the corner. If you don't like the bass, you could probably bring the speaker toward you to the wall break and still have enough wall for the baffle, and maybe get smoother response. Your ears will tell you. The gabled ceiling gives the room some good irregular dimensions to minimize room modes. Looking forward to your report.
Adams
JIC your interested -- this link to the library copy of the Roy Allison engineering paper, "The Influence of Room Boundaries on Loudspeaker Power Output" http://www.classicspeakerpages.net/library/allison/other/technical_articles_by_roy_f/