Here is a list of the Feats of Strength available in StarCraft 2:
Wings of Liberty
The Scenic Route
Destroy all Zerg structures in "The Devil's Playground" mission on Normal difficulty.
You'ze So Crazy!
Destroy all Protoss structures in the "Welcome to the Jungle" mission on Normal difficulty.
Monster Mash
Use the A.R.E.S. to kill the Brutalisk in the "Piercing the Shroud" mission on Normal difficulty.
Hot Shot
Finish a Qualification Round with an undefeated record.
Events
BlizzConqueror 2010
Purchase tickets to Blizzard’s convention taking place in Anaheim, California on October 22 & 23, 2010.
BlizzConqueror 2011
Purchase tickets to Blizzard’s convention taking place in Anaheim, California on October 21 & 22, 2011.
15 Years of StarCraft!
Play a game of StarCraft II during the 15th anniversary celebration.
Collector's Edition Perks
Devoted Fan
Purchase StarCraft II Wings of Liberty Collector's Edition.
Cataclysmic Devotion
Purchase the Collector's Edition of World of Warcraft: Cataclysm.
Diabolical Devotion
Purchase the Diablo III Collector’s Edition.
Pandamonian Devotion
Purchase World of Warcraft Cataclysm Collector’s Edition.
HeartCore Devotion
Purchase StarCraft II Heart of the Swarm Collector's Edition.
Heart of the Swarm Beta
Heart of the Swarm Beta Protoss Level 30 5
Reach Level 30 5 as Protoss in the Heart of the Swarm Beta.
**Heart of the Swarm Beta Terran Level 30 **
Reach Level 30 5 as Terran in the Heart of the Swarm Beta.
Heart of the Swarm Beta Zerg Level 30 5
Reach Level 30 5 as Zerg in the Heart of the Swarm Beta.
The level requirements for the feats of strength earned during the Heart of Swarm beta were changed on January 31, 2013.
No Battle.net points are earned from the above Feats of Strength.
It exists. As of Patch 1.1, it is now attainable.
There are trigger components in the editor to award it (though obviously, nothing accessible through the editor involves actually awarding it, and the awarding of achievements on custom maps is impossible at any rate).
A better question might be: "Why didn't I receive this feat of strength?" to which I don't know. It's possible it's reserved for 1v1 placements, only checks the first set of placement matches per season, or something else entirely.
Best Answer
Congradulations. Achievement is granted after going 5-0 (5 wins, 0 losses) in a qualification round. It was only not turn on before patch 1.1.0 so people that tried this before patch 1.1 did not get it.
Both you and I experienced a bug. There is a recognized bug to get the Hot Shot achievement after the recent 1.01 patch release without accomplishing 5-0, however.