Ken

You need to visit a pediatrician that specialises in development and behavior, easiest way will be to get referral from primary health centre,  you can also make an apointment in evening clinic at Hamad with one of Pediatricians on 4392214.

I know a colleague who has a child with autism, she is seeing a consultant Dr Fadeela, who specialises in such cases, may be you can ask for her apointment.