I've arranged a summer internship type thing. It was arranged over email and two weeks ago I gave the nod to the terms, but I haven't received anything back since (I was told I'd get an offer letter ASAP after signalling agreement to the terms).
I'm guessing it shouldn't normally take two weeks to sort this kind of thing out, right? So I'm a bit worried that either: my email never got through to them; they did reply but it never got through to me; or there's been some kind of breakdown in communication between their departments and it's been forgotten about.
However, I feel like if I were to get in touch and ask what's happening, this could make me come across as impatient and/or rude if everything is fine (perhaps the HR department has just been very busy, for example).
So how should I check that none of my above worries are the case, while not appearing impatient if it is simply taking a while to process everything?