OP, it's your right to choose your method of delivering your baby. Be firm and demand what you are entitled to and escalate until someone gives you a surgery date. Your body, your choice.
FWIW, I've done both - DC1 was low risk, in a birth centre at a major teaching hospital, MW led care, no pain relief, gave birth naturally with only gas and air.
Had massive tearing and sustained permanent PF damage (rectocele prolapse) which may need a surgical repair at some point.
As a FTM who had done my reading and classes, I had no idea that the kind of damage I sustained was even possible! Just bad luck but definitely contributed to me getting PND with my first baby, which was tough.
When I was pregnant with DC2 I had the PF consultant letter stating subsequent births should be via ELCS to minimise any additional damage. Even with the letter, local OBs at the new hospital pushed back and queried my choice. I just stuck firm and repeated: "I have the right to choose how I deliver my baby and I am choosing an ELCS, thank you" about 20 times!
After that I got the c-section date through fairly promptly, was scheduled for 39 weeks.
All went very smoothly. I had a playlist of calming music which they put on in the theatre; I had prepared by doing "hypnobirth for c-section" recordings which I loved. Getting the spinal pain relief in wasn't totally straightforward but didn't hurt. Once I was on the table it seemed like baby was out in 2-3 minutes. I asked them to delay cord clamping as long as possible, which they did (though it wasn't super long).
Spent 1 night on the ward with lovely MWs taking care of us, home the next day. Recovery was straightforward - be sure to rest as much as you need and delegate everything to your partner except the baby! So you have proper time to heal (have a friend who popped a stitch doing too much too soon and that wasn't fun) - don't be a hero!
But compared to my 'natural' birth experience, ELCS was a walk in the park. Wish you all the best whatever you choose.