British school in doha are:
1)Doha Montessori British School (DMBS) in Ein Khaled
2)Qatar International School (QIS) in Al Dafna
3)Doha Collage
4)Dha Enlish Speaking School
5)Newton International School
6)Park House

I like Montessori very much.... I think you have to visit these schools by urself and see what is the best for ur daughter.But wait until schools begin on the 5th of January.
Good luck