Embedding content from one web server (ie BI) into another web server content (ie Wordpress) is a bit beyond the scope of what I am comfortable with.
It certainly can accept incoming connections to two different domain names or two different paths and route them to two different servers. Blending them together is something I am not sure about with Wordpress. I can do it with Drupal but that has nothing to do with the reverse proxy.
I run a very light nginx proxy VM and tinker in other VMs as needed. You could combine them if you wanted though.