Hi Aline,
Yes, my husband is working in the UK. But I think that self-employed EEA citizens have exactly the
same status as those who are working for a UK employer:
"If you are an EEA national and you want to live in the UK for more than three months, you must be a 'qualified person'. A qualified person means an EEA national who is in the UK as:
a jobseeker
a worker
a self-employed person
a self-sufficient person (someone who can support themselves financially) or
a student.
You do not need a work permit to work in the UK but you may need to register as a worker under the Worker Registration Scheme. There are also separate requirements for Bulgarian and Romanian workers (see below)."
You probably could contact the NHS directly with your question and that way have a written response by email for future reference (and to show your GP when you register), but I really don't think you'd have any problem being covered. If you do contact the NHS, you might want to also ask them to verify that there is no 6-month residency rule before you can register with the GP. This is the case, but a lot of GPs don't know it.