In the Doctor Who episode ‘Turn Left’, an alternative universe is created when Donna Noble turns right instead of left and gets a new job.
In this universe, the Doctor dies (without renegerating) whilst battling the Racnoss — i.e. prior to the events of series 3. We then see the events of the season 3 premiere (i.e. the Royal Hope Hospital being transported to the moon) and the subsequent Christmas special (the S.S. Titanic disaster) occur without the Doctor.
However, no mention is made of Mr Saxon becoming Prime Minister of the UK. In the original timeline, this was prompted by the Doctor precipitating the fall of Harriet Jones (in the Christmas special between series 1 and 2). I can’t see how the Doctor’s death during the encounter with the Racnoss would have prevented this.
So: where was Mr Saxon in the alternate timeline?