“The reason is because of living in a parliamentary democracy, where one votes for parties rather than individuals.SHE is not elected the party is,”
Completely and utterly wrong, klavidir.
In a General Election in the United Kingdom constituents vote for an individual to represent them at Westminster. They do NOT vote for parties. (They may cast their vote on the basis of whatever party their chosen candidate represents, but they do NOT vote for a party).
When all the MPs have been elected the Queen invites whoever she is advised can best form a government to Buckingham Palace and invites him or her to do so. Constitutionally, the appointment of a Prime Minister is in the gift of the Monarch. In practice the PM is usually the leader of the party with the most seats in the Commons. When a PM resigns between elections the same principle applies. Again the appointment of the new PM is in the gift of the Monarch and she would invite whoever she is advised can command authority in the Commons to become the new PM.
You are suffering from a fundamental misunderstanding of the constitutional setup of the UK. A simple question might dispel your notion that voters vote for parties. If that was the case, how do Independent MPs get elected?