CSWP “Value of a field on the Page” Questions/Issues

We're trying to create a seach query that grabs a content type based on a taxonomy field added to our custom Publishing Page content type. We seem to be having one of two issues:

1. We don't know how to call a field that has a space. We've been using the internal nameDepartment:{Page.EH_x0020_Department} and also tried the display nameDepartment:{Page.EH Department}. Neither work, nor does inserting %20 between the two.

2. We just don't know how to call a managed-metadata page field. If we copy/paste the term we want returned into the title of the page{Page.Title}, the query works. Are we missing something that is extra for managed metadata fields?

I couldn't find anything aside from the basics on Google, I appreciate any help that can be given.