My thoughts are yes. Why risk Braxton if you don't have to? Give the young man the maximum time to heal and then bring him back to face conference opponents. Of course, this is with the full admission that I have no idea of the true severity of his injury. Also, the discussion of Braxton's pain tolerance has nothing to do with this question, so please don't inject it here.
The follow on conspiracy theory is that Braxton won't win the Heisman this year for missing a couple games which leads him to decide to come back next year to pursue that goal. If you are UFM, does this factor in to your decision whether to play him or not?