Hi this is for a museum that has multiple show in several galleries. The shows are in a post type (shows) and the name of the gallery is a taxonomy. At any given time there might be 3-5 galleries with shows in them and they want the page to display the shows in a specific order- I thought perhaps i could add a sort-order field to the taxonomy and display the whows sorted on that value-
So I don't think adding term meta to your gallery terms helps in this scenario.
You would need a solution where ordering was determined by fields of the show posts (e.g. a custom field).
Depending on what exactly you are trying to achieve, nested Views might be an option (in the legacy editor, they are not supported in the block editor). For example, you might have a taxonomy View that loops over the galleries, and in the output of that View another View which showed Shows belonging to each gallery.