Still, despite its flaws, C is the common layer we have to expose an API that you want to be consumed everywhere. That, or a message passing interface with a client/server architecture. A client/server design may lead to zombie servers, while a tightly coupled C API might crash your application, though you can isolate the C API consumer in a supervised and automatically restarted server you talk to with messages, so that's the more flexible API to have.
The Rust rewrite of parts of Mercurial by Facebook is a no-brainer and given the possibility of GC-less C API in Rust, I wouldn't be surprised if a built-in-Rust C API for Mercurial were to follow. I don't like Rust when compared to high-level languages, but it's a viable C replacement with compile-time exclusion of certain bug classes, so I can get behind such a project. That said, the soundness bugs reported on github are worrisome, so I wouldn't trust Rust's checker to be correct or exhaustive, just yet. It's still a step up from C, that's undeniable.