I have accidently removed the installation files, now I can't update from the MS website. Will reinstalling Office over the top solve the problem?

Reinstalling Office would logically solve the problem.

But I would try something else before: trying to update with Office Installation CD in the CD Drive (without launching a new install). The update process may detect the CD and find necessary files there. Good luck.

For obvious reasons using the CD myself isn't an option, so I guess it's back to the shop! Thanks anyway Yeti.

For obvious reasons using the CD myself isn't an option, so I guess it's back to the shop!  Thanks anyway Yeti.

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I've done it (some time ago though), even if my Office was not legit.

I would do this anyway: if my solution sucks, you go to the shop and they fix things (better than going to the shop without trying anything...).