I just got an email from GAME.

Dear Mr ------,

Order Numbers(s):xxxxxxxxxxxxxx
Qty Description
1 Medieval II: Total War [PC Games]

We are pleased to advise that your order, xxxxxxx, has been despatched via
your chosen delivery method and will be with you shortly!
I've not gone for the best delivery. I've got for "2 days". Which means theres a chance I'll get it Thursday, if not I'll definately be getting it on Friday