Norwood began his professional career kicking for the USFL's Birmingham Stallions, and led them in scoring both seasons before Donald Trump's hairdo sold the league for one dollar. He was then quickly signed by the Buffalo Bills, for whom he became the team's all-time leading scorer, surpassing all other kickers before him as well as any and all acquitted murderers. He was soon to become an integral piece of the Bills' growing success, culminating in their advance to the 1990 Super Bowl, despite the utter silliness of their team nickname.