I don't have a problem but need to know exactly what is going on:
I am able to ssh into the server running Postgresql then set display:0.0 to my machine in order to run and view the pgaccess X app on my desktop.
Does this mean that the pgaccess connection is ssh-protected (encrypted)?
That depends.
pgaccess has 2 connections. It has a connection to your x-server which is being forwarded through the ssh tunnel. That one is encrypted.
It also has some kind of connection to the postgresql database server. That could be by unix domain socket, or it could be via tcp-ip, and the db server could be on the same system as the pgaccess client, or it could be on another computer altogether.
In any case, the db connection has nothing to do with your ssh connection.
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