is changing endocrinologie doctor okay?

i live in europe, in a very small country. i have called a medical clinic today which consists of various endocrinologie doctors. the one which is most known for hrt treatments and which i had a meeting with 2 years ago (i have been going back and forth, and i regret that massively as of right now), has a waiting list of over 6 months, so i got another appointment in mid april when i get the prescrition for HRT from therapy with another doctor. unfortunately, this doctor has no reviews and no further informatiuon that one can find online.

so, as i wasn't asked about the reason for the appointment, (general hormones / endocrinologie doctor) after my phone call, which is why i ended uo inquiring per mail if this new doctor is specialized in transsexuality & HRT treatment, to get further information as well as inquired about getting more appointments with my previous doctor for the future.

my question is, considering that i live in europe, is it okay to get HRT prescribed by one doctor and then move to another one?

aside from that, the doctor i got the appointment with soon (april for HRT), speaks french, which i don't speak well, so the doctor that has a waiting list for 6 months speak german which i am fluent in.

i feel bad for asking to switch immediately, but i can't wait for 6-7 months to get an appointment if i can be on HRT within 2 months.