Nina,

I've just spoken to a guy who works here (bahrain) - who used to work in Doha. He can't see any problems with you bringing your maid - he thinks the salary limit is something like 3,000 QAR.
You will still need to come to Doha first and arrange for her work permit and visa. So make sure you bring copies of her passport, birth certificate and any medical records - just to be on the safe side.

Good Luck