DFA tore his labrum a few years back (a SLAP tear - i.e. Superior Labrum, Anterior to Posterior - i.e. where the biceps tendon attaches to the labrum, it was tearing from too much sporty sporty training ), and the orthopaedist said it was either get surgery, or never heal. DFA was out for like 6 weeks, in a sling, doing nothing but passive range-of-motion exercises, and certainly not "working out" (beyond like two-pound weights in PT) for many months, and not climbing until about six months after.
Maybe you don't have such severe wreckage going on, though. Either way, good luck, and hopefully you have a speedy recovery!