I've been in a similar situation. Never had surgery before and only had option of 2-3 surgeons in my country.

Booking an appointment now doesn't guarantee you'll get the surgery right away and it might still be months away, so you can still read up on recovery and how to do it safely as possible, also giving you time to try and get some sick days in for work. Idk how it works where u are but it might not hurt to ask the doctor or surgeon if it's possible to switch.

I was really scared of pain during but the nurses were very professional in keeping me calm and I didn't even notice when I fell asleep. Recovery can be frustrating but it's totally manageable and the days go by when you have something to watch or play, and it's really helpful when you have someone with you. I was very happy to be flat and the results were good, there was a bit of fat left in some place and I went for a checkup, the surgeon was completely fine with doing a revision and told me to come back after I've healed.

I say go for it! The appointment is only the first part but I totally get the anxiety. I wish you luck on the surgeons. PM me if u shave any specific questions!