The choice, of course, was a no-brainer ... Clark is considered by many to be the greatest women's college basketball player ever -- but still, Caitlin was fired up for the honor nonetheless.

The 22-year-old hooper walked across the stage in New York with a huge smile on her face ... before she embraced commissioner Cathy Engelbert and held up her new Fever jersey.

Indiana fans won't have to wait long to see her ball out in the new threads ... as preseason for the team begins in just a couple weeks -- on May 3.

Fans can obviously expect fireworks as soon as Clark hits the court ... because her four seasons at Iowa were some of the most memorable in the history of the sport.

She averaged 28.4 points per game ... as well as 7.1 rebounds and 8.2 assists per contest. She totaled 3,951 points in all -- a number no other player has ever reached.

A ton of other ex-college superstars, meanwhile, are set to find their new WNBA homes in a matter of minutes too -- including LSU's Angel Reese and South Carolina's Kamilla Cardoso.