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Sam, sympathies. Healing doesn't always go as expected. However, once the bone is healed, it is healed and you should be running again quite soon afterwards (based on my experience with a fractured ankle and then a stress-fractured pelvis.
Well done on starting the piano and on your swimming etc. - but I do know how frustrating it is not being able to run!
TT: sympathies again and good luck for continued progress.
samsunguser, apologies for delayed reply. With the broken ankle I did my first jog (20 paces, three times, barefoot on short grass, so as gentle as possible) 12 weeks after surgery (I had the broken fibula plated as it was broken right at the joint) - and less than 4 weeks after I first walked without boot or crutches. With the stress-fractured pelvis (secondary to the ankle) I did my first 5-minute jog (again, barefoot on grass) at just under 8 weeks (was told I could run at 6.5 weeks but decided to give it a little longer). (Much shorter times than after I tore my posterior tibial tendon in autumn 2013 - that was nearly six months).
With the pelvis, I'm convinced the key to my recovery was that I RESTED IT - a week on crutches initially and then minimised even walking for the first five weeks. Swam arms-only (used a pull buoy to support my legs) and didn't try to cycle. All the reports I read online where people had tried to cross-train with their stress-fractured pelvis were also the ones where people were still having problems months down the line. While I'm back to running ultras and completed a 10-marathons-in-10-days challenge a couple of months ago.