 Wonsley was drafted in the ninth round (229th overall) of the 1980 NFL Draft by the New York Giants, but was cut by the Giants after training camp.He was then signed by the Washington Redskins in April 1981, where he spent his entire playing career and was used primarily as a backup to John Riggins.He was also a member of The Fun Bunch, which was a group of Redskins players known for their choreographed group celebrations in the end zone (usually a group high-five) following a touchdown.