I got a very good report and prognosis from my surgeon! My hip is healing as well, if not better than expected and I'm cleared on run again (though I'll have to build up my pace gradually).
Then, I went to PT where I ran a 9:00/mile for one mile on the treadmill (and still had stamina left to keep going, but was told not to push it). The physical therapist has also been pushing me harder and harder, and she told me today it's my fault for recovering so well and so quickly!
If all goes to plan, I should be able to run a 5K distance at my old sub-8:00/mi pace before summer! :D
This GIF properly expresses my happiness at the news: