A 3-star safety recruit, Everett committed to play college football at Texas A&M over offers from Arkansas, Kansas, Louisiana Tech, Memphis, Missouri, Ole Miss, and Southern Methodist.

[2] In 2013, during his junior season, Everett played in 13 games at cornerback and safety, starting nine, and recorded 73 tackles, two interceptions, nine pass breakups, one fumble recovery, and two defensive touchdowns.

Everett finished his four-year college career playing in 50 games with 34 starts, recording 218 tackles, 26 pass breakups, five interceptions, one fumble recovery, and three defensive touchdowns.

[6][7] Throughout organized team activities with the Buccaneers, he competed for a roster spot as a backup cornerback against Mike Jenkins, Isaiah Frey, Sterling Moore, C. J. Wilson, and Leonard Johnson.

On October 18, 2015, Everett recorded his first career tackle on linebacker Trevor Riley while covering a kickoff in the second quarter of the Redskins' 34–20 loss at the New York Jets.

[25][26] On December 11, 2016, Everett recorded a tackle and made his first career interception off a pass by Carson Wentz during a 27–22 victory at the Eagles in Week 14.

His first $24,000 fine was for hitting a defenseless player penalty he committed on Eagles' running back Darren Sproles during a punt return.

[19] Throughout training camp, Everett competed for a spot as a backup safety against Blackmon, Earl Wolff, Josh Evans, Montae Nicholson, Stefan McClure, and Fish Smithson.

[34] In Week 4, Everett recorded four solo tackles before leaving the Redskins' 29–20 loss at the Kansas City Chiefs in the third quarter after sustaining a hamstring injury.

[35] On November 23, 2017, Everett earned the start at strong safety after Nicholson sustained a concussion during their 34–31 loss at the Saints the previous week.

On December 10, 2017, Everett recorded a season-high 11 combined tackles (six solo) and deflected a pass during a 30–13 loss at the Los Angeles Chargers in Week 14.

[47] On July 19, 2022, Everett pleaded guilty in exchange for a reduced charge for misdemeanor reckless driving and was sentenced to three months house arrest.