At the most most macro public health level, it doesn’t matter a lot which group you vaccinate first. You won’t stop the virus until 80-90% of everyone is vaccinated.
Figuring out the best order to vaccinate does have some possibility to vaccinate the highest risk/highest danger/smallest communities first. There are some opportunities to vaccinate in an order that decreases total deaths. But for the most part it’s like rearranging the deck chairs on the titanic.