Worgan began his career by coming through the youth ranks at Wimbledon and was one of a few players to stay with the squad during the move to become Milton Keynes Dons. However, he never managed to establish himself there and spent two weeks on loan at Wycombe Wanderers during the 2003–04 season when they suffered a goalkeeper injury crisis with Steve Williams, Frank Talia, and Tom Gott all out injured. In August 2004 he joined Rushden & Diamonds on a free transfer but again failed to establish himself and at the end of the year he was released and was signed by Cardiff City on another free transfer. He did not make a league appearance for Cardiff but did play in the FAW Premier Cup on one occasion. He was released by Cardiff at the end of the 2005–06 season after having spent some of the season on loan at Merthyr Tydfil. Since then he has played for Eastbourne Borough and in October 2006 he signed for Isthmian League Premier Division side Hastings United, making his debut in a 2–1 win over Croydon Athletic in the FA Trophy. In his first year, after helping the side to promotion, he was unanimously voted the Supporters' Clubplayer of the year and was quickly offered a one-year extension to his contract.
In May 2008 he signed for Tonbridge Angels. He received a red card on his competitive debut for Tonbridge against Wealdstone. In March 2011, he won the 'Sells Goalkeeping Academy Good Hands' award for the best defensive record in the Isthmian League Premier Division that month, conceding three goals in six games. Worgan was named Tonbridge Angels player of the year for the 2010/11 season, with performances against Bury Town and Wealdstone particularly impressing fans. At the end of the 2012–13 season, Worgan was named in the Conference South team of the year with performances against Dover, Salisbury and Hayes and Yeading particularly impressing managers and fans alike but after five years at Tonbridge, more than 200 appearances in all competitions and one promotion, Worgan announced that he was leaving the club.
On 15 May 2013, Worgan joined Isthmian League Premier Division side Maidstone United. The stopper cited the size of the club and its infrastructure as his reasons for the move. He swept up the club's player of the season awards in his debut season, receiving the accolade from supporters, teammates, and the manager. He was a pivotal part of the side that won promotion to the National League South in 2014-15 and made his 100th consecutive league appearance for the club on 5 September 2015 in the 0 - 0 draw away at Gosport Borough. Following the departure of Steve Watt, Worgan was made club captain at the Gallagher Stadium. Worgan was once again a vital cog in the Stones machine that won an unlikely promotion to the National League at the climax of the 2015-16 season, with the goalkeeper going down in club folklore for his promotion-winning penalty save from Danny Kedwell in the playoff final against Ebbsfleet United. The promotion meant the club had gone up three times in 4 years, and it was Worgan's second consecutive promotion with the club. During the 2016-17 season, Worgan's first ever in the top tier of non league football, he made his 150th consecutive league appearance for the Maidstone against Gateshead in October 2016.
Dover Athletic
On 29 October 2018, Worgan joined Kent rivals Dover Athletic on a -year deal that would also see him take up a coaching role. He made his debut for the club in a 2-2 home draw with Havant and Waterlooville in the FA Trophy first round.
International career
Worgan has played for Wales through most youth levels and was a regular in the Wales U21 team for several years.
