Born in Forest Gate, Greater London, Woodards began his career as a trainee with Chelsea, playing 70 times plus 10 substitute appearances for the reserve team in the period 2000/1 to 2004/5, but was released during the summer of 2005 without making an appearance for the club.
After spending a short time on trial with League Two side Wycombe Wanderers, he signed on non-contract terms for Conference National side Exeter City on 29 October 2005. Woodards was able to impress former Exeter City managerAlex Inglethorpe enough to secure a contract through the 2006–07 season. During his time with Exeter, Woodards proved himself to be a versatile and talented player. Able to play both as a right-back and right-sided Winger, he quickly established himself as Exeter's first choice right-back.
After rejecting a series of new contracts from Exeter during the 2006–07 season, Woodards when on trial with League One side Yeovil Town during the January transfer window. Glovers manager Russell Slade was reportedly interested in signing the English defender, but it was Dario Gradi of fellow League One side Crewe Alexandra who managed to sign Woodards for a fee of £30,000 and a 20% sell-on clause. He signed a two-year deal at MK Dons after his contract expired. On 20 May 2011 he was released by Milton Keynes Dons, after turning down a new contract. His only goal for MK Dons came in a 2–1 win at Walsall on 7 August 2010.
Woodards signed for Bristol Rovers on 26 August 2011 on a one-year deal, making his debut in the League Cup2nd Round away to Leyton Orient. He made his league debut in a 4–1 defeat at Crawley Town on 3 September, scoring his first goal against AFC Totton in the FA Cup. Woodards 'signalled interest' in signing a contract extension at Bristol Rovers on 12 June 2012, an extra year being added to his previous one-year deal.
Tranmere Rovers
After a successful trial at Tranmere, Woodards signed on an initial six-month deal on 28 July 2014 and was allocated squad number 17.
Boreham Wood
After leaving Tranmere, Woodards signed for newly promoted National League side Boreham Wood in July 2015.