I believe Rust will eventually supplant C and C++ as the language of choice for performance oriented programming. This includes operating systems, device drivers, games and tooling.
I do not believe (and hope) that Rust will be used in line of business applications as it is simply much harder to master than C# or Java. Some companies will always claim they need that last drop of performance, but believe me, in most cases they don't.
Working with Rust I've come to appreciate the wisdom of including garbage collection in Java and C#. Manual memory management is simply something humans aren't good at and is best left to the computer.