The ability to fly for extended distances on a single engine is something modern long haul aircraft are designed for and pilots trained for, and even if it's a RR-engined aircraft you're probably more likely to have engine issues with birdstrikes than the apparent metal fatigue issues with the Trent 1000. Looking at the size of those parts that apparently fell I'd feel more unsafe on the ground!
I'm exaggerating a bit about my concern. I know the statistics on modern aviation safety, even with Boeing's, uh, recent track record on such things.
Frankly, in the grand scheme of things, I'm more concerned about my safety driving in Tel Aviv than I am about my flight getting there ;)
That's about 15[1]/45000000 for 2018, not sure what the longer term trends are. So your chances of dying due to an airplane crash if the distribution is random is 1 in 3 million give or take. With 'bits falling out of the engine' the distribution is of course no longer random.
[1] https://edition.cnn.com/2019/01/02/health/plane-crash-deaths...
[2] https://www.forbes.com/sites/michaelgoldstein/2018/12/28/air...
edit: found better figures.
https://www.compositesworld.com/articles/aeroengine-composit...
GE has also had problems with the GEnx including a double engine failure on a 787.
Engine parts melt and fall off, and the plane doesn't seem disturbed. Awesome engineering!