There will be small niches leftover:
* Embedded - This will always be C. No memory allocation means no Rust benefits. Rust is also too complex for smaller systems to write compilers.
* OS / Kernel - Nearly all of the relevant code is unsafe. There aren't many real benefits. It will happen anyways due to grant funding requirements. This will take decades, maybe a century. A better alternative would be a verified kernel with formal methods and a Linux compatibility layer, but that is pie in the sky.
* Game Engines - Rust screwed up its standard library by not putting custom allocation at the center of it. Until we get a Rust version of the EASTL, adoption will be slow at best.
* High Frequency Traders - They would care about the standard library except they are moving on from C++ to VHDL for their time-sensitive stuff. I would bet they move to a garbage-collected language for everything else, either Java or Go.
* Browsers - Despite being born in a browser, Rust is unlikely to make any inroads. Mozilla lost their ability to make effective change and already killed their Rust project once. Google has probably the largest C++ codebase in the world. Migrating to Rust would be so expensive that the board would squash it.
* High-Throughput Services - This is where I see the bulk of Rust adoption. I would be surprised if major rewrites aren't already underway.
Modern embedded isn't your grandpa's embedded anymore. Modern embedded chips have multiple KiB of ram, some even above 1MiB and have been like that for almost a decade (look at ESP32 for instance). I once worked on embedded projects based on ESP32 that used full C++, with allocators, exceptions, ... using SPI RAM and worked great. There's a fantastic port of ESP-IDF on Rust that Espressif themselves is maintaining nowadays, too.
I do firmly expect that we're less than a decade out from seeing some reference algorithm be implemented in Rust rather than C, probably a cryptographic algorithm or a media codec. Although you might argue that the egg library for e-graphs already qualifies.