[docs] Add Rust client documentation

website/docs/apis/rust-client.md

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+---
+title: "Rust Client"
+sidebar_position: 4
+---
+
+# Fluss Rust Client
+
+The Fluss Rust Client is a high-performance, asynchronous library powered by the
+[Tokio](https://tokio.rs/) runtime. It provides a native interface for interacting
+with Fluss clusters with minimal overhead.
+
+The client provides two main APIs:
+
+- **[Admin API](https://clients.fluss.apache.org/user-guide/rust/api-reference#flussadmin)**: For managing databases, tables, and partitions.
+- **[Table API](https://clients.fluss.apache.org/user-guide/rust/api-reference/#flusstablea)**: For reading and writing to Log and Primary Key tables
+
+## Installation
+
+The Fluss Rust client is published to [crates.io](https://crates.io/crates/fluss-rs)
+as `fluss-rs`. The crate's library name is `fluss`, so you import it with `use fluss::...`.
+
+Add the following to your `Cargo.toml`:
+```toml
+[dependencies]
+fluss-rs = "0.1"
+tokio = { version = "1", features = ["full"] }
+```
+
+## Quick Example
+```rust
+use fluss::client::FlussConnection;
+use fluss::config::Config;
+use fluss::error::Result;
+
+#[tokio::main]
+async fn main() -> Result<()> {
+    let mut config = Config::default();
+    config.bootstrap_servers = "127.0.0.1:9123".to_string();
+
+    let conn = FlussConnection::new(config).await?;
+    let admin = conn.get_admin().await?;
+
+    Ok(())
+}
+```
+
+For more examples, see [Fluss Rust Client documentation](https://clients.fluss.apache.org/user-guide/rust/example/).
+
+## Full Documentation
+
+For the complete Rust client reference including all configuration options,
+API methods, data types, error handling, and worked examples — see the
+**[Fluss Rust Client documentation](https://clients.fluss.apache.org/user-guide/rust/installation)**.