I suppose wrapping it for other languages can be harder, but should be doable I think. The benefit of Rust though is using a much better language with rich standard library.
As for toolchain, Rust can be set up basically anywhere llvm can, which is quite a lot. There are rare cases where llvm wasn't ported yet to, but I don't think they are enough to make C a compelling option in general, and I don't think any of them are gaming related.
If you are in such case - then sure, but otherwise, I'd still prefer Rust.