Turkish fly to destinations across the globe with 100+ aircraft everyday. They are a safe airline and operate some of the newest aircraft in the sky, especially their 737-800s which fly to and from the UK 5+ daily and the CAA, although a bit wacky when it comes to business sense are spot on for safety as are the men and women in Brussels.
I wouldn't worry about it. Problems can happen anywhere - look at the 777 for example - only ever had one right off and everybody survived that flight! Mite be scaring you a little now!
Anyway...they fly new aircraft and there is just as much of a chance of a problem with Malev, and BA, Air France, Lufthansa or any other major European airline!
You'll be fine!
