Rust is worth learning, but your C skills will continue to be useful for embedded for a long time. Rust support in the embedded world is still growing and you will find yourself going between Rust and C on most projects unless you can carefully pick your platform for Rust support up front.

Coming from C I don’t think you’ll find Rust too foreign, once you internalize how the ownership rules work. In my experience the formal rules of Rust overlap a lot with behaviors that are good practice in C/C++ anyway, but there are some complicated concepts that you need to wrap your head around before expressing them in Rust becomes second nature.