I can't say I know how long it takes for international shipping in EU, but my guess is it'll take about as long as it took for the card to arrive there, unless you chose a different shipping option. generally the tracking info should be available sometime that night, if not a bit sooner, so you should have a good eta then.
Anyway, when it came to shipping from the east coast to California for me, it was about 5 business days for the standard ground shipping, when I've had things come from there. granted in this case there's more too it than just distance, and I'm not sure how long customs and such affect shipping time between Germany and the UK.