tejolote, welcome to FlyerTalk! For added discussion, let me move this to our Disability Travel forum. Ocn Vw 1K, Moderator, TravelBuzz.
[With mod hat off: My experienced surgeon (also a UA frequent traveller) requested I avoid flying for 4 weeks, and then only on a few short flights and in E+ until about 10 weeks. I was required to adhere to the hip precautions Radio Girl mentioned for 6 weeks. Recovery from hip replacement surgery can be easy and uneventful but I would be most cautious about long flights just 10 days out.]