Hi, in the preschool where I taught in the Philippines, children ages 1.6 can start at the Toddler class. We offer Kindermusik to parents who wish to enroll their kids who are younger. The parents join the sessions. So if yo you're concerned with leaving your child in school, maybe you can start with Kindermusik.
http://www.littleangelsqatar.com/history.php
(there maybe some other schools in Doha with Kindermusik)