The type of conflict Franz is facing is a character vs. circumstance conflict.
In this scenario, Franz is experiencing a conflict between himself and the circumstances that have resulted from his dancing accident. The conflict arises from the fact that Franz was once a skilled ballerina dancer and had a passion for dancing, but the tragic accident and subsequent injuries have significantly impacted his ability to continue pursuing his passion.
The circumstance of his shattered anklebone, multiple surgeries, and the prognosis that he might never dance again presents a major obstacle for Franz. He must now come to terms with the reality that his dreams of dancing may be permanently shattered. This conflict highlights the struggle between Franz's personal desires, abilities, and the external circumstances that have limited his ability to pursue his passion.
It's important to note that character vs. circumstance conflicts often serve to create tension and drive the character's development and growth throughout a story or situation. In Franz's case, this conflict may lead him to explore alternative ways of expressing his love for dance or finding new passions that align with his abilities.