While you're at the schools, observe the kindergarten classrooms. Although the children who are currently there are a year older than your daughter, you will get a good idea of the classrooms' structure and the teacher's expectations.
If you decide to go ahead and put your daughter in a kindergarten class, you may find that she will have no problems. If she starts kindergarten and you think the psychologist may be correct, ask that your daughter be placed in a class with a highly structured teacher.
Research tells us that once a child starts school, any retention can increase the chances that the child will drop out of school when he or she reaches the legal age to do that. The best solution if there are questions about a child's readiness is to give them another year to prepare before starting school. If your daughter starts school but retention is suggested, kindergarten and first grade are the best years to make that happen.
You may also want to consider going to another psychologist for a second opinion.