The 21-year-old defensive lineman shot up many team's draft boards after his performance at the combine, when he put up 44 reps of 225 pounds and ran a blazing 4.98 40-meter dash for a player at his position.
The pick came as a surprise to many, considering highly-rated guard David DeCastro was still available when KC's turn came up.
Especially considering that the Memphis native already had some glaring red flags entering the draft, including his lack of solid competition while playing in Conference USA over the past three seasons.
Not only that, but Poe was never very dominant while playing for Memphis, as he was never anything more than a second-team all-conference selection for the Tigers' defense.
On the other hand, Poe fits the profile of a prototypical 3-4 nose tackle in the NFL.
Listed at 6"3", 346 pounds, he definitely looks the part and is a very powerful DT with the strength to fight off double teams at the next level.
Even though he still has a lot to learn about his position, he could benefit from having one of the best defensive minds in the game in head coach Romeo Crennel.
Also, with the lack of talent at defensive tackle for the Chiefs right now, it's very possible that Poe could wind up being the team's week one starter at nose tackle, which means that he could start learning right away.
What grade would you give the Chiefs for their first round?
That being said, he still could easily turn into a bust, and was a big gamble with the 11th overall pick.
Overall, I think the Chiefs reached on this pick and took a huge risk in drafting Poe at all, considering the fact that he is known more for his combine workout than his overall play in college.
Looking ahead to day two of the draft, the Chiefs will have one pick in each of the second and third rounds—the 43rd and 75th overall selections.
What other players could the team target tomorrow?
If they want to go with a QB, Michigan State's Kirk Cousins and Arizona State's Brock Osweiler could both be viable options in the second round, while there are still some good pass-rushers available, including Alabama's Courtney Upshaw.
Don't be surprised if KC decides to take a defensive back with one of their picks on Friday as well—safety Brandon Taylor might be a good option in the third.
There are many different directions they could go, but they need to make solid decisions on the draft's second day after coming up with a very questionable pick in the first round.