I would suggest walking in to the practice and asking to talk to the practice manager, don't take the receptionist's word. I was unfortunate that the only large animal hospital in my city for miles only took on vet students, which they told me six weeks after I'd sent a written letter. So this meant I had to look further afield but I now have a three day placement with Leahurst to look forward to so its worked out for me. Don't be put off by rejection, and remember you don't have to stick to the local area.