It isn't hard to make it online so the vast majority can use that but then keep some back for people who can't.
This system already exists, its an app called Patient Access.
My GP, and by the sounds of things many others, turned off the option to book appointments on it when covid shut everything down and its never been turned back on.
It worked brilliantly, as someone with ongoing health issues I could book follow up / routine appointments weeks, or even months, in advance, with a specific doctor, and plan around work and any other commitments.
Now even when its something non urgent I have to join the scrum at 8am and hope I can get an early or late appointment so work doesn't get too pissed off, or that there even is an appointment at all because of the total refusal to book anything in advance.
A&E probably and fuck that service up as well for those that really need it.
I ended up in A&E a while back, got patched up overnight and told to go to my GP in the morning. GP did fuck all and when the meds A&E had given me wore off I was back to square one. Phoned the GP again and was told there was no appointments available and to phone 111 ...
Call 111. They'll tell you to take 2 paracetamol and go to your GP, or call an ambulance if you think it's an emergency
... phoned 111, got told they couldn't connect me with a GP or have an emergency GP come out as my surgery was listed as still being open at the time I phoned. Got told to go to A&E.
When I went back there they were fuming that my GP hadn't done anything and said it happens all the time, people end up in A&E either because they can't get a GP appointment in the first place of because the GP hasn't done the follow up properly.