Step 1: Identify exactly what is being asked.
The question asks who was the first Indian to visit the ISS specifically, not the first Indian in space.
Step 2: Eliminate the earlier space travellers.
Rakesh Sharma flew to the Salyut 7 station in 1984, and Sunita Williams and Kalpana Chawla are of Indian origin but flew as NASA astronauts, not as Indian citizens on the ISS mission being referenced.
Step 3: Confirm the correct name.
Shubhanshu Shukla reached the ISS aboard the Axiom mission.
\[ \boxed{\text{Shubhanshu Shukla}} \]