Erinna,
You'd get more luck asking in the Middle East forum, but here goes. EK's min's are currently 4000 total time with at least 2000 on multicrew jets. The guys getting hired right now are well above those minimums and most have previous command time. I believe EY's requirements are a little bit less, but similar.
As a 200 hour new commercial pilot you may be eligible for a cadet program at Etihad, though traditionally its only been open to locals. Most airlines in the middle east require several years of experience before you can apply to them. Try looking into Ryanair, they have a cadet program if i'm not mistaken that requires you to come up with some cash for a type rating, but it does get you into the right seat of a jet. Good luck.