Career
O'Dwyer was originally from Barooga in the New South Wales Riverina, but played at Assumption College before being recruited by Sydney. He played five games for the Swans in the 1990 AFL season and another three in 1991. After not making a single appearance in 1992, O'Dwyer was drafted by Carlton.
In 1993, instead of representing for Carlton, O'Dwyer began playing for Sydney team Eastern Suburbs. He was also coach of Eastern Suburbs in 1997 and 1998, while still active as a player. By the time he retired in 2000 he had played 168 games for Eastern Suburbs.