You can use algorithm implementations that do not have secret-dependent timing differences in any language, as long as you are clear that your guarantees do not extend to the underlying runtime or to compiler optimizations. This isn't perfect, but it's better.
You can go further Rust-to-WASM and use tools like https://github.com/trailofbits/skills/tree/main/plugins/cons... to check the assembly and the runtime that the assembly runs in. (Most of the linked Claude skill is a Python program. It just relies on AI to eliminate false positives.)
The real question is: What's your threat model?