Just to add a bit onto what Ksand has already said, the shortage list is aimed at highly specialised and experienced people, not newly qualified ones. Think about it: if a programme that is funded by the NHS for UK and EU citizens were sufficient to qualify someone for a certain job, then why would that job be on a shortage list? The harsh truth is that it is very difficult to get a work visa for the UK, and the government is doing its best to make it harder still. If you want to move here permanently then you may have to play the long game. By all means study here, but study something you're passionate about and that you can use in either country. After you've finished your degree, you may have to go back to the US; that's just how things are. But at least you'd be qualified for a job you want to do, and perhaps in a few years you'd be able to return on a Tier 2. But I would definitely not recommend basing your future on a list that could easily change next year or even next week. Immigration is enough of a gamble already.
