Doodledog
That's terrible, Purpledaffodil. I wish you all the best in your treatment. 
I don't have an issue with part-time doctors, but do feel that the hours should be covered by other ones, as in most job-shares. If one doctor wants to work half-time, why not get another one in who wants to do the same?
GP Practices do get GPs to job share. But there aren’t enough GPs in the country. I’ve explained all this multiple times in different threads.
Last year we imported 660,000 people net (actually it was over a million but some others left) and also a much smaller number arrived illegally. All these people, approximately 700,000 per year need services, including doctors. If you have fewer doctors but more people, do the maths, there are fewer appointments available for everyone. It’s not rocket science.