Woods attended Peabody High School in Trenton, Tennessee, where he pitched to a 12–2 record with a 0.84 ERA and 119 strikeouts as a senior in 2017.

[1] After graduating, he first enrolled at the University of Tennessee at Martin before transferring to Dyersburg State Community College at the end of the fall semester.

[3][4] Woods signed with Atlanta and made his professional debut with the Rookie-level Gulf Coast League Braves, going 0–1 with a 6.10 ERA over 20+2⁄3 innings.

In 2019, Woods pitched for the Rome Braves of the Class A South Atlantic League in which he went 1–5 with a 3.35 ERA and 58 strikeouts over 51 innings.

[12][13][14][15] He made his MLB debut the next day, pitching a scoreless inning with one walk and one strikeout against the Chicago Cubs.