Election

The Lord President of the High Council of Gallifrey might be chosen by election. (AUDIO: Mindbomb, etc.)

Jack Robertson planned to run in a American presidential election in 2020. (TV: Arachnids in the UK)

There were also other types of elections like a general election that Great Britain's parliament system used. Harriet Jones won a general election in a landslide majority to secure herself and her party a term in government. (TV: The Christmas Invasion) Later, (posing as "Harold Saxon") won a general election. (TV: The Sound of Drums)