I suspect your child has mild anxiety
, but I do not see any signs of an anxiety disorder. I think you are doing well - you cannot "remove your child's fears" - she has to face them and each time she faces her fears (going to school), it will become less and less. Of course, this may take weeks, months and in some cases, years. In your daughter's case, I don't think it will take "years" as it did in our child's case.