It looks like I've finally managed to secure a credit card in the United States.
I applied shortly after I got here, and because, to a large extent, I didn't exist, I couldn't get one. I recently received another invitation to apply and this time it looks like I was successful. I haven't actually been sent the plastic as yet, but my online account now shows a linked credit card.
The mildly amusing thing about this application is that my credit limit is almost exactly 2.5% of the amount I have in the UK. I understand the reasons for this, but it does all seem a little pointless.