I received the offer for student finance this morning as well! :L But luckily I got given an invite to Applicant Day this Wednesday yesterday, so I don't have to worry as much! It will be fine, do not worry!!! xD
I'm assuming you received the email for student finance, I was excited about it being an offer too! Oh well...
It was also highly irrelevant to me, as I am an international applicant who will get financial support (scholarships and loans) from the Norwegian educational funding system.
i'm applying to history at birmingham too. my friend applied to dentistry and has gotten an interview already, so it only took a few weeks for hers to come through. depending on when exactly you applied it might take that kind of timescale, then again, i am supposing that by now they've received a lot more applications for non-early application subjects like veterinary, and will take longer to process.