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Probably doesn't, but it does currently contain a copy of lua, which is written in C.

There are Rust OS projects with nothing but some assembly and then Rust code, so it shouldn't be strictly required.

Disclaimer: haven't had time to read the code yet.

It is probably easier to do all of the massively unsafe things required to initialize in C than it is in Rust. Then Rust is just used after C does its dirty things.

That shouldn't ever be necessary. Part of the point of Rust is that you can do unsafe low-level work, so long as you tag it with the "unsafe" keyword to enable pointer arithmetic and so forth.

The OS is completely Rust, with a minor amount of ASM for the bootloader and other requirements.

C is a third party possibility, I allow C programs to run on Redox.