Born in Hillerød, Budtz became an instant hero in his first game for Doncaster Rovers when he replaced the injured Andy Warrington during a League Cup tie against Manchester City in September 2005.

Budtz fractured a bone in his hand in January 2006,[3] and Doncaster Rovers quickly signed replacement Alan Blayney.

He eventually signed a six-week extension with Wolves, and made his debut on 17 March as a half-time substitute in a 2–2 draw at Sheffield Wednesday.

He was eventually recalled by his parent club on 24 April, following their own on-loan goalkeeper, Neil Sullivan, returning to Leeds United.

[12] On 25 August 2021, Budtz returned to Worksop Town having been released by Grantham,[13] but ON 28 September 2021 he made his second debut back with Rossington Main.