Some things that most people probably aren't aware of when it comes to hospital care (mostly applicable to US, but some themes are broadly true to most european countries as well) that are really concerning in terms of long term impacts:
1) Many hospitals have (rightly) postponed elective procedures. They want to keep pretty much anyone who doesn't have to be in the hospital out of the hospital, but this is a very difficult nut to crack. Elective procedures tend to be more financially beneficial to begin with, employ directly or indirectly most of hospital staff, and while there's obviously been offsetting increases in terms of care for COVID patients, it's nowhere near the same size as the drop in other care (at least not yet - and I hope it never is enough, since that would mean a much longer and worse pandemic). Many hospitals have seen utilization down 2/3. This means a huge drop in revenue and in work available for hospital staff.
2) While all doctors do go to medical school and receive a broad-based medical education, if you're not already a doctor doing something related to emergency care, and you're not in let's say your first 3-5 years out of school, you are most likely not actually prepared to help face the worst of this crisis. The recent grads likely still remember enough. But the vast majority of non-hospitalists don't even have admitting privileges and even those that do likely know little about hospital care. Still any doctor, even the most siloed specialist, should be knowledgeable enough help with general diagnosis/triage as well as handling the ~90% of more mild cases. They just won't be able to be helpful for the ~10% of hospitalized cases. The supply of doctors who actually know how to handle these cases is capped and already over capacity in some places. If this 10% of cases that require hospital care is out of a bigger pie, there's obviously the fear about equipment. But I'm not sure if we run out of equipment or capable doctors first. Equipment we can make. Doctors we can't as easily. It would require a pretty valiant and fast re-training effort.
3) So while this delay of any elective care and changing of priorities does affect doctors, some will be able to adjust to help in at least some capacity. But the majority are seeing reduced hours and pay. In theory many doctors can handle this, as doctors make good salaries, but this may not be the case for doctors with kids, those paying off medical school student loans, etc. These doctors are likely not able to file for unemployment and they're making too much (last year) to be getting a check from the government - not that this one time check is much more than a bandaid anyway. There needs to be a specific targeted program to keep afloat medical professionals who've lost work and who genuinely need assistance or the system risks even greater collapse. There's a great concern about the system's ability to ramp back up after the crisis.
4) But even more concerning is what this means for other staff, such as nurses, techs, anesthetists, social workers, etc. Many of these are being furloughed. Others, if they're lucky, are being asked to take on tasks they are not trained in. Nurses can likely make a lot of this adjustment. The roles that are less trained in more general care trained cannot. Some hospitals are trying to still provide these hospital employees with SOME amount of work. I know anecdotally of techs who are being asked to do sanitation, i.e. janitorial duties, at night. That's the best the hospital can offer them.
5) The CARES Act does contain $100B for providers (largely hospitals), which is targeted to help with the issue of capacity in #2 (though the speed with which this money will be available is not currently known). It also with immediate effect temporarily ended Medicare sequestration and bumped up the IPPS rate paid when it's for treatment of a COVID patient, which help in the immediate term with revenues for COVID care. There's also some other extra benefits to providers thrown in, but altogether they still don't really broadly fix the payroll issue that is causing hospitals to furlough staff left and right.
A lot of this same stuff can be said for primary care doctors and some specialists, but many of these have at least been able to supplant some of their regular office visit revenue with telemedicine.