Stoddart began his rugby career at Treorchy RFC, working his way through the club's youth ranks before finally making it into the senior team for the 2003–04 season while still only 18 years old.
The following year, Stoddart made the number 15 shirt at Sardis Road his own, and his explosive breaks were said to have provided the catalyst for Ponty's 2006 Konica Minolta Cup triumph over Neath.
Stoddart's performances did not go unnoticed by the Welsh regional sides, and he eventually signed a professional contract with the Llanelli Scarlets in 2006.
Stoddart's efforts were rewarded when he won the Principality Premiership Player of the Year award for his contribution during the 2006–07 season for Llanelli.
On 6 August 2011 during a World Cup warm up match between Wales and England, Stoddart broke his left leg after being tackled by Delon Armitage.