Shouldn't be much of a problem. You'll need a sponsor of some note in Russia - a Ministry or well-connected private company to back up the application. Also a passport-sized photo which must fit in the box provided on the application form. You should receive it in about a week.
There are no problems on the diplomatic front. Money is money after all, and you'll pay through the nose for it - £259 for a one-year m/e visa. If you need more help/info, pm me.