No worries, I found the answer out by calling PCSpecialist once the holidays were over: they sent me instructions to download a command file that basically connected my Microsoft account with the digital licence.
It was good that this was a common enough problem that they had set instructions...
My new PC Specialist desktop arrived and it is fantastic, I just can't see how to activate the Microsoft Office digital licence I ordered! I was expecting a piece of paper with an activation key or something, or maybe that my e-mail address used to purchase the PC had been linked to the licence...