I know this is an old thread, but for any new people looking for a dentist for children, (Pediatric Dentist or Pedodontist), I highly recommend Dr. Rafif Tayara who works at (what she calls) the Dental Kingdom, a specialized great clinic for children at Cedars Dental Center, right next to Al Ahli Hospital. She's very knowledgeable and experienced, but most of all, extremely patient and caring with the children. Definitely try her out! Their clinic number is 4486-4088
I recommend you go to the Family Dental Clinic just off the Cring road, near the Petrol station/subway. They have pediatric, orthodontist, hygenists, dentists and do inplants and everything else you might want. The are American and are the oldest private dentists in Doha. I have been going to them for years. There number is 4666227.