It's a centralized, non-free service that feeds on people's data. That's horrible enough, but i'm guessing i can't even use it with a Tor browser? Mumble works plenty fine on the Tor network.
I haven't used Discord previously so i wouldn't know, but i read they use WebRTC. If so, then it wouldn't work with Tor Browser at all, which is built without WebRTC support for privacy reason.