thaoly10, I just saw your post and I was in the same situation when i came to London. I was looking for a french doctor as well, not because I refused to see an English medic, but at that time my English was very chaotic. I really mean it.
I can recommend you some french medic who are really nice.
for a GP Im seeing
Alexandre NAIRI , for a dentist
Sarah Abergel and for an osteopath, i always see
Mathilde Konczynski. I just wish you a happy life here in London !