Conflict Resolution

I started a new job about a month ago, and I had a classroom that had absolutely no structure. I was told by the director to follow the schedule that is set for my age group, which is 2 1/2 - 3. The children are set to go outside at 11 am, and there must be no more than two classrooms out at a time, and in particular, my class can not be out with the younger class, which is understandable. Before I came, the children did not get a lot of curriculum, and now they do, which means I take them out at the scheduled time at 11 for 45 mins. The younger classroom of toddlers used to go out at that time, but that is not their true schedule, just something the teacher does. The toddler teacher wants me to not follow my schedule to allow for things to stay the same, and I disagree, and follow my schedule set by the owners and directors. The teacher and I do not see eye to eye. What I could possibly do is compromise and maybe go out at 1130-1200, allowing for her to take her children out at 11, or I could use the 3 R;s by respecting the teacher by empathizing, yet explaining the need to stick to the schedule set by the director, reciprocate by compromising or alternating the play schedule, and be responsive to the needs of not just the teacher, but the needs of my students.  As of now, it remains that I follow the schedule, but possible, once we can communicate more effectively, we can compromise and make a decision we are both happy with. What do you all think I should do?