I had to look up this Tier 2 visa thing to work in the UK.
NHS urges easing UK visa rules for non-EU medical recruits
Employers join campaign after applications from Europe dry up following Brexit vote
(...)
The visa cap has hit the NHS particularly hard because the points-based system sorts applicants partly according to their expected salary, with the minimum fluctuating according the number of excess applicants and their points ratings.
The lowest eligible salary in January was £46,000, according to the Home Office.
Many would-be immigrant doctors would earn too little to qualify. The University Hospitals Birmingham NHS Foundation Trust has said it has had 18 applicants rejected because of the issue.
https://www.ft.com/content/5f80cdf0-0dba-11e8-8eb7-42f857ea9f09This dates from 2017, so I'm not sure whether it's still the case or not.
NHS nursing: Up to 40,000 posts unfilled
The Royal College of Nursing (RCN) estimates that the NHS in England has as many as 40,000 unfilled posts. It's now calling for staffing levels to be guaranteed in law.
The Conservatives say there are thousands more nurses on the wards of acute hospitals in England.
But the chief executive of the Royal College of Nursing, Janet Davies, says the situation is unacceptable.
14 May 2017
https://www.bbc.com/news/av/uk-39913481/nhs-nursing-up-to-40000-posts-unfilled