The problem is that under the current system in my state (where teachers are ineligible) and I believe this is similar in most places, there is no provider level discretion. Once a group is deemed eligible, it is first come, first served. Which is why your 25 year old teacher got in ahead of the dentist. In my state, if teachers gain eligibility coincident with obese 25 year olds, whoever is better at accessing the system gets in first.
As I said, under current distribution, we should have 80% of seniors with at least one dose by the end of March. Unless of course we hit snags because, back to the Virginia example, pre-65s are able to jump the line ahead of seniors.