Filezilla doesn't let me upload the file to my server. 
I get the error I need more permissions to do so.
Any help would be great.

Your host doesnt allow you to upload .dll files, so you'd need to contact them.

I am using Filezilla, and when I navigate to RustDedicated_Data/Managed folder and try to move the Oxide.Ext.Discord.dll over, it fails every single time.  The server is stopped, so I don't understand what the problem is.  If it matters, I'm using gameservers and of course have the latest oxide installed.  Please advise. 

Nevermind, Gameservers.com has a dedicated install button for the Oxide.Ext.Discord.dll.  Can't manually do it, must use their process.

Nice, im using the exact same method to edit my server with gameservers.com. Before they added it to GS it was a pain not being able to add the discord extension manually. I'm not sure how active they are on keeping up to date on the version. It was at 1.0.5 for a while after 1.0.6 was released. I opened a ticket letting them know though. They wern't sure what I was talking about at first but after a few replies back and forth they realized what I was talking about. Then a few days later it was updated.