Welcome, Janet, I hope you do move to Qatar! I would venture that your first question would be about accomodation. You would want it to be fully paid for by your employer and in a nice and convenient part of town. I have a girlfriend who is living alone in an area where there are 99 men to every woman and she is a bit uncomfortable. You also will need to drive in Doha,it's just not a great place for taxis and there is no accessible public transportation to speak of. There is a nice social network with churches, women's groups, restaurants and shopping and I find I meet a lot of my friends at the gym (ladies only, of course.) There are many single adult women here in Doha, particulary in Education City. I'm sure you'll find friends easily.
Mandi