I am a musician (flute player) and recently ruptured my ear drums while on an airplane. is it safe to practice my flute while my ears are healing?

Should be fine.: I wouldn't imagine that the sound your ears would experience while you're practicing your flute would be any louder than the average amount of sound to which you're exposed on a daily basis. Performing in a concert, though, would be another story. I think you can practice, but I hope you don't have any concerts scheduled in the very near future as those might be ill-advised until healed.