@MotherExtraordinaire, what on earth is entitled about having to go to work to support incredibly complex and high risk patients? I'm sure OP would love to be furloughed and not have to worry about finding care for her children, but it's not allowed.
The guidance doesn't suggest that only those directly working in coronavirus-related occupations are critical workers, because it gives a long list including people like members of the justice system, religious staff, people in financial services provision, etc. In the health service, it is defined as:
"This includes, but is not limited to, doctors, nurses, midwives, paramedics, social workers, care workers, and other frontline health and social care staff including volunteers; the support and specialist staff required to maintain the UK’s health and social care sector; those working as part of the health and social care supply chain, including producers and distributors of medicines and medical and personal protective equipment."
In effect, they are saying that people who work in the most non-expendable occupations are critical to the coronavirus response, not that they have to be directly working with coronavirus patients or anything similar.
OP very obviously comes within the health category and is the reverse of entitled. People like you who suggest that she is, however, need to have a think about their own attitudes.