My wife had to travel from Pakistan to Argentina for delivery end of 2010. She was in her 31st week of pregnancy. The best choice as it seemed to be was Qatar Airways in terms easy of travel (no plane change at Brazil) and minimum transit time at Doha Airport. The total travel time itself is a grueling +23 hours one way.
Qatar being advertised as a 5 star airlines, definitely seemed a good choice opposed to Emirates which required a plane change at GRU Brazil. Plus they have been advertising that they welcome expectant mothers.
But it seems the airlines is not really bothered about taking care of passengers with needs. She was not given any priority at any stage of the flight nor at the airports. She was not assigned a seat on her request nor was she looked after in the plane. The staff did not even respond to the Service Calls most of the times and had little access to drinking water in her condition.
Over all, she has had a horrible flight experience with Qatar Airways and dreads flying with them.
It seems that the airlines is fine to travel if and only if you do not have any special needs.