this information i copied from other thred and i thought it will be helpful to you. there is one testing center in dubai which is confidential ... here it is
http://www.medhelp.org/posts/show/496886?personal_page_id=366380
--------------------------------------------------------------------------------------------------
Dubai you can go to the Al Tazeer medical centre opposite the Hyatt regency hotel in Al Baraha area. The doctor there is Sudanese. He used to be director of preventative medicine in Fujeriah now he works in the hospital in Dubai but has his own practice also. He will do a rapid test while you wait. Results in 20mins or less, and 100% Confidential guaranteed.
btw. Its in the same building as KFC on the first floor.
just wanna say a hi to you too as i am also from Middle east ... working in Qatar and i do visit dubai frequently ... see ya