do I have an open roof deformity? How can this be fixed?
To confirm the presence of an open roof deformity requires a physical examination and palpation of the bridge line. It appears that there may be an open roof deformity along with wide nasal bones. Medial and lateral osteotomies of the nasal bones can close the open roof and narrow the bridge line. For many examples of narrowing a wide nose with osteotomies, please see the link and the video below
It is difficult to say from the one photo and so early in your recovery whether or not you will develop an open roof.