There is no shame in walking a hill. I've never done it myself, but I'm sure it's OK.
Just fooling. There are hills on a local MTB trail that I have never made it up and possibly never will. I walked up a good portion of Brasstown Bald the first time I rode it (but I came back the next year and rode it all the way). I'm sure you'll be back to conquer that baby when you heal.