Trauma-sensitive yoga is different in that it takes the traumatized person into careful consideration in every aspect of the work, from the set up of a classroom/studio to the poses that are performed to the language the teacher uses. The focus is on integrating and empowering, allowing those impacted by trauma to 'reclaim the body' and feel as if they can make choices about what happens to them---beginning on the mat. The sort of guru of trauma-sensitive or trauma-informed yoga is David Emerson, who works with Bessel Van Der Kolk to run the most comprehensive trauma-informed yoga program (and trauma-informed yoga teacher training program) in the country out of Boston. Here's a brief article he wrote explaining it in more detail:
http://www.traumacenter.org/products/pdf_files/IJYT_article_2009.pdf