Say what you will about QR, but they do tend to look after their passengers during transit stop-overs in Doha. If the snob with a bra you're traveling with is that picky, one does wonder what she's doing flying steerage.
Besides being a fairly strict Muslim country, I don't think you'll find there's much of a difference in policy between QR and, say, most other airlines when it comes to alcohol: It's on your own dime if you're not onboard one of their aircraft, and even then - depending on airline and class of travel - it may not be free or even available.