Deat Knight Alliance or HoardeFollow

I have started an new Death Knight Draeni which would make me think I am playing an Alliance character, however the actions I am being asked to carry out to complete my current tasks make me wonder if I am Hoarde. Is this just apart of the story line (ie do I get to choose my true path later in the game) or am I indeed set to play a Hoarde character?

Thanks for that, is there a level when I decide which side I will be more alligned with?

You alliance/horde alignment is determined by the race you picked, not by any choice you make in the game.

Because you picked Drenai, this means that when you finish the starter region you will be playing on the Alliance side. If you want to play horde, you would need to start a DK with a horde Race (ie Orc, Troll, Blood elf, etc).