First Minister of Chance

One of the four surviving elementals was a man with a bent nose. (PROSE: The Gallifrey Chronicles) He appeared to the Eighth Doctor in the Tomorrow Window. In the vision, he was wearing a cream suit and strolling through Regent's Park. His long hair was swept back and his chin was held imperiously high. (PROSE: The Tomorrow Windows)

Later, the Eighth Doctor saw him again as part of a vision of the Time Lords who survived the War in Heaven, alongside the Emperor, the Man with the Rosette, and an unknown woman. In the vision, the man appeared tall, wore a cravat, and held a pair of dice. (PROSE: The Gallifrey Chronicles)

Behind the scenes
As spelled out by Lance Parkin in his reference book AHistory, this character is the Minister of Chance, a character from the 2001 BBCi webcast Death Comes to Time. In that story, the Minister was voiced by, and his appearance was modeled after, British actor Stephen Fry; in the proposed sequel to the story, the Minister would have taken up the Doctor's mission out of guilt, hence his appearance in the Doctor's Tomorrow Window in The Tomorrow Windows. In the cameo of the four surviving elementals in Miranda, one of the four elementals' face, though shrouded in shadow, clearly resembles Fry, albeit with shorter hair than the Minister had in Death Comes to Time.

This was not the only reference to the Minister of Chance in media considered valid by this Wiki: the Big Finish audio story The Same Face featured a Time Lord called the Minister meeting the Third Doctor, and strongly suggested that they would go on to regenerate into Fry's Minister of Chance, with it being suggested by a secondary character towards the end of the story that they might start to call themselves something like "the Minister of Luck". However, because the "man with a bent nose" was never referred to as the Minister of Chance in a story considered valid by this Wiki, we cannot acknowledge a link between "the Minister" and the man with the bent nose.