There are two ways to get a doctor faster.

The first is to increase the supply of doctors: more doctors, more nurses, more beds in hospitals, more clinics, more MRI machines. Any government with a public healthcare system can do this at any time by allocating more funds to the public healthcare system, either increasing the taxes people pay, or diverting tax money from something else. If a country isn’t bankrupt and isn’t doing this, it’s a choice.

The second way is to have private clinics that use money as a way to skip triage. To allow wealthy people to pay their way ahead of poor people to the same small supply of doctors. This is the way most people who rail against public healthcare see the solution going, but the part they don’t say out loud is “I want poor people to suffer more so I can suffer less”. Because that’s what that solution is, it’s what it boils down to, but for some reason saying “I want to sell my suffering to the desperate” makes it feel less fun.