When someone says “Rust is thread-safe”, Rustaceans in one common voice reply, “Rust is data-race-safe”. After that, folks get into a good conversation about what the difference is, and learn about deadlocks and other issue in threads.
Generally speaking though, it does mean that multi-threaded programming in Rust is memory-safe, and won’t introduce a significant class of bugs that you see in C and C++, where so many exploits come from.